153525542400 has 480 divisors, whose sum is σ = 565739623680. Its totient is φ = 40778588160.

The previous prime is 153525542329. The next prime is 153525542419. The reversal of 153525542400 is 4245525351.

153525542400 is a `hidden beast` number, since 1 + 53 + 5 + 25 + 542 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106098477 + ... + 106099923.

It is an arithmetic number, because the mean of its divisors is an integer number (1178624216).

Almost surely, 2^153525542400 is an apocalyptic number.

153525542400 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 153525542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282869811840).

153525542400 is an abundant number, since it is smaller than the sum of its proper divisors (412214081280).

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

153525542400 is a wasteful number, since it uses less digits than its factorization.

153525542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 153525542400 in words is "one hundred fifty-three billion, five hundred twenty-five million, five hundred forty-two thousand, four hundred".