152307090432 has 396 divisors, whose sum is σ = 513536949120. Its totient is φ = 43350515712.

The previous prime is 152307090409. The next prime is 152307090433. The reversal of 152307090432 is 234090703251.

152307090432 is a `hidden beast` number, since 1 + 523 + 0 + 7 + 0 + 90 + 43 + 2 = 666.

It is a super-2 number, since 2×152307090432² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (152307090433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165730869 + ... + 165731787.

Almost surely, 2^152307090432 is an apocalyptic number.

152307090432 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 152307090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256768474560).

152307090432 is an abundant number, since it is smaller than the sum of its proper divisors (361229858688).

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

152307090432 is a wasteful number, since it uses less digits than its factorization.

152307090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 152307090432 its reverse (234090703251), we get a palindrome (386397793683).

The spelling of 152307090432 in words is "one hundred fifty-two billion, three hundred seven million, ninety thousand, four hundred thirty-two".