152506404432 has 120 divisors (see below), whose sum is σ = 429520337064. Its totient is φ = 50512822272.

The previous prime is 152506404373. The next prime is 152506404433. The reversal of 152506404432 is 234404605251.

152506404432 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 0 + 640 + 4 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19050624576 + 133455779856 = 138024^2 + 365316^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152506404433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28150588 + ... + 28156004.

Almost surely, 2^152506404432 is an apocalyptic number.

152506404432 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 152506404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214760168532).

152506404432 is an abundant number, since it is smaller than the sum of its proper divisors (277013932632).

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

152506404432 is a wasteful number, since it uses less digits than its factorization.

152506404432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6637 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 152506404432 in words is "one hundred fifty-two billion, five hundred six million, four hundred four thousand, four hundred thirty-two".