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145855152 = 24322953659
BaseRepresentation
bin10001011000110…
…01001010110000
3101011110012122200
420230121022300
5244314331102
622250103200
73420514452
oct1054311260
9334405580
10145855152
1175371153
1240a1ab00
13242aa431
141552a2d2
15cc1151c
hex8b192b0

145855152 has 120 divisors (see below), whose sum is σ = 430887600. Its totient is φ = 45986304.

The previous prime is 145855133. The next prime is 145855169. The reversal of 145855152 is 251558541.

145855152 is a `hidden beast` number, since 1 + 4 + 58 + 551 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220999 + ... + 221657.

It is an arithmetic number, because the mean of its divisors is an integer number (3590730).

Almost surely, 2145855152 is an apocalyptic number.

145855152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145855152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215443800).

145855152 is an abundant number, since it is smaller than the sum of its proper divisors (285032448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145855152 is a wasteful number, since it uses less digits than its factorization.

145855152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 746 counting only the distinct ones).

The product of its digits is 40000, while the sum is 36.

The square root of 145855152 is about 12077.0506333293. The cubic root of 145855152 is about 526.3895488851.

The spelling of 145855152 in words is "one hundred forty-five million, eight hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 53 58 72 87 106 116 144 159 174 212 232 261 318 348 424 464 477 522 636 659 696 848 954 1044 1272 1318 1392 1537 1908 1977 2088 2544 2636 3074 3816 3954 4176 4611 5272 5931 6148 7632 7908 9222 10544 11862 12296 13833 15816 18444 19111 23724 24592 27666 31632 34927 36888 38222 47448 55332 57333 69854 73776 76444 94896 104781 110664 114666 139708 152888 171999 209562 221328 229332 279416 305776 314343 343998 419124 458664 558832 628686 687996 838248 917328 1012883 1257372 1375992 1676496 2025766 2514744 2751984 3038649 4051532 5029488 6077298 8103064 9115947 12154596 16206128 18231894 24309192 36463788 48618384 72927576 145855152