152825702400 has 1152 divisors, whose sum is σ = 680018976000. Its totient is φ = 32841400320.

The previous prime is 152825702339. The next prime is 152825702413. The reversal of 152825702400 is 4207528251.

It is a happy number.

152825702400 is a `hidden beast` number, since 1 + 5 + 2 + 82 + 570 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 164505136 + ... + 164506064.

It is an arithmetic number, because the mean of its divisors is an integer number (590294250).

Almost surely, 2^152825702400 is an apocalyptic number.

152825702400 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 152825702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340009488000).

152825702400 is an abundant number, since it is smaller than the sum of its proper divisors (527193273600).

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

152825702400 is a wasteful number, since it uses less digits than its factorization.

152825702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 152825702400 in words is "one hundred fifty-two billion, eight hundred twenty-five million, seven hundred two thousand, four hundred".