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132999552 = 2732716493
BaseRepresentation
bin1111110110101…
…10100110000000
3100021021002002100
413323112212000
5233021441202
621110350400
73203322540
oct773264600
9307232070
10132999552
1169090594
123865b400
1321728b7a
1413941320
15ba2241c
hex7ed6980

132999552 has 96 divisors (see below), whose sum is σ = 437420880. Its totient is φ = 37997568.

The previous prime is 132999541. The next prime is 132999577. The reversal of 132999552 is 255999231.

132999552 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 99 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 132999498 and 132999507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183 + ... + 16310.

Almost surely, 2132999552 is an apocalyptic number.

132999552 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 132999552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218710440).

132999552 is an abundant number, since it is smaller than the sum of its proper divisors (304421328).

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

132999552 is a wasteful number, since it uses less digits than its factorization.

132999552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16520 (or 16505 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 132999552 is about 11532.5431713911. The cubic root of 132999552 is about 510.4462990662.

The spelling of 132999552 in words is "one hundred thirty-two million, nine hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 16493 32986 49479 65972 98958 115451 131944 148437 197916 230902 263888 296874 346353 395832 461804 527776 593748 692706 791664 923608 1039059 1055552 1187496 1385412 1583328 1847216 2078118 2111104 2374992 2770824 3166656 3694432 4156236 4749984 5541648 6333312 7388864 8312472 9499968 11083296 14777728 16624944 18999936 22166592 33249888 44333184 66499776 132999552