152504672436 has 144 divisors (see below), whose sum is σ = 407979726336. Its totient is φ = 47935685952.

The previous prime is 152504672429. The next prime is 152504672483. The reversal of 152504672436 is 634276405251.

152504672436 is a `hidden beast` number, since 1 + 52 + 504 + 67 + 2 + 4 + 36 = 666.

It is a super-2 number, since 2×152504672436² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152504672391 and 152504672400.

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 47 ways as a sum of consecutive naturals, for example, 35940531 + ... + 35944773.

It is an arithmetic number, because the mean of its divisors is an integer number (2833192544).

Almost surely, 2^152504672436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152504672436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203989863168).

152504672436 is an abundant number, since it is smaller than the sum of its proper divisors (255475053900).

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

152504672436 is a wasteful number, since it uses less digits than its factorization.

152504672436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 152504672436 in words is "one hundred fifty-two billion, five hundred four million, six hundred seventy-two thousand, four hundred thirty-six".