152695036872 has 640 divisors, whose sum is σ = 534707712000. Its totient is φ = 39739714560.

The previous prime is 152695036829. The next prime is 152695036877. The reversal of 152695036872 is 278630596251.

152695036872 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 9 + 503 + 68 + 72 = 666.

152695036872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (152695036877) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 279149703 + ... + 279150249.

It is an arithmetic number, because the mean of its divisors is an integer number (835480800).

Almost surely, 2^152695036872 is an apocalyptic number.

152695036872 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 152695036872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267353856000).

152695036872 is an abundant number, since it is smaller than the sum of its proper divisors (382012675128).

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

152695036872 is a wasteful number, since it uses less digits than its factorization.

152695036872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 152695036872 in words is "one hundred fifty-two billion, six hundred ninety-five million, thirty-six thousand, eight hundred seventy-two".