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132657102 = 2351072551
BaseRepresentation
bin1111110100000…
…10111111001110
3100020121200100000
413322002333032
5232430011402
621055145130
73200365254
oct772027716
9306550300
10132657102
1168977276
12385151a6
1321639036
14138925d4
15b9a5c1c
hex7e82fce

132657102 has 48 divisors (see below), whose sum is σ = 300972672. Its totient is φ = 43788600.

The previous prime is 132657097. The next prime is 132657113. The reversal of 132657102 is 201756231.

It is a happy number.

132657102 is a `hidden beast` number, since 1 + 3 + 2 + 657 + 1 + 0 + 2 = 666.

It is a super-2 number, since 2×1326571022 = 35195813422076808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50727 + ... + 53277.

It is an arithmetic number, because the mean of its divisors is an integer number (6270264).

Almost surely, 2132657102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132657102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150486336).

132657102 is an abundant number, since it is smaller than the sum of its proper divisors (168315570).

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

132657102 is a wasteful number, since it uses less digits than its factorization.

132657102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 132657102 is about 11517.6864864434. The cubic root of 132657102 is about 510.0078199493.

The spelling of 132657102 in words is "one hundred thirty-two million, six hundred fifty-seven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 243 321 486 642 963 1926 2551 2889 5102 5778 7653 8667 15306 17334 22959 26001 45918 52002 68877 137754 206631 272957 413262 545914 619893 818871 1239786 1637742 2456613 4913226 7369839 14739678 22109517 44219034 66328551 132657102