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132151120 = 24512713007
BaseRepresentation
bin1111110000001…
…11011101010000
3100012122222020221
413320013131100
5232312313440
621040242424
73163160143
oct770073520
9305588227
10132151120
1168661102
1238310414
13214bc93a
14137a005a
15b905d4a
hex7e07750

132151120 has 40 divisors (see below), whose sum is σ = 309694464. Its totient is φ = 52440192.

The previous prime is 132151079. The next prime is 132151141. The reversal of 132151120 is 21151231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132151094 and 132151103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3657 + ... + 16663.

Almost surely, 2132151120 is an apocalyptic number.

132151120 is a gapful number since it is divisible by the number (10) 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 132151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154847232).

132151120 is an abundant number, since it is smaller than the sum of its proper divisors (177543344).

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

132151120 is a wasteful number, since it uses less digits than its factorization.

132151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13147 (or 13141 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 132151120 is about 11495.7000656767. The cubic root of 132151120 is about 509.3585682029.

It can be divided in two parts, 1321 and 51120, that added together give a square (52441 = 2292).

The spelling of 132151120 in words is "one hundred thirty-two million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 13007 26014 52028 65035 104056 130070 208112 260140 520280 1040560 1651889 3303778 6607556 8259445 13215112 16518890 26430224 33037780 66075560 132151120