152034725726400 has 672 divisors, whose sum is σ = 548151653048832. Its totient is φ = 36586200268800.

The previous prime is 152034725726399. The next prime is 152034725726417. The reversal of 152034725726400 is 4627527430251.

It is a super-2 number, since 2×152034725726400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 152034725726400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6674911812 + ... + 6674934588.

It is an arithmetic number, because the mean of its divisors is an integer number (815701864656).

Almost surely, 2^{152034725726400} is an apocalyptic number.

152034725726400 is a gapful number since it is divisible by the number (10) 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 152034725726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274075826524416).

152034725726400 is an abundant number, since it is smaller than the sum of its proper divisors (396116927322432).

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

152034725726400 is a wasteful number, since it uses less digits than its factorization.

152034725726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23737 (or 23722 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 152034725726400 in words is "one hundred fifty-two trillion, thirty-four billion, seven hundred twenty-five million, seven hundred twenty-six thousand, four hundred".