152112818797632 has 448 divisors, whose sum is σ = 568905639936000. Its totient is φ = 39509821370880.

The previous prime is 152112818797591. The next prime is 152112818797669. The reversal of 152112818797632 is 236797818211251.

152112818797632 is a `hidden beast` number, since 1 + 5 + 211 + 281 + 8 + 79 + 76 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×152112818797632² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 152112818797632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5145808 + ... + 18185295.

Almost surely, 2^{152112818797632} is an apocalyptic number.

152112818797632 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 152112818797632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284452819968000).

152112818797632 is an abundant number, since it is smaller than the sum of its proper divisors (416792821138368).

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

152112818797632 is a wasteful number, since it uses less digits than its factorization.

152112818797632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23331156 (or 23331126 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 63.

The spelling of 152112818797632 in words is "one hundred fifty-two trillion, one hundred twelve billion, eight hundred eighteen million, seven hundred ninety-seven thousand, six hundred thirty-two".