152115510400 has 384 divisors, whose sum is σ = 465855183360. Its totient is φ = 47883878400.

The previous prime is 152115510341. The next prime is 152115510401. The reversal of 152115510400 is 4015511251.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (152115510401) by changing a digit.

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, 15607929 + ... + 15617671.

It is an arithmetic number, because the mean of its divisors is an integer number (1213164540).

Almost surely, 2^152115510400 is an apocalyptic number.

152115510400 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 152115510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232927591680).

152115510400 is an abundant number, since it is smaller than the sum of its proper divisors (313739672960).

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

152115510400 is a wasteful number, since it uses less digits than its factorization.

152115510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9832 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 25.

The spelling of 152115510400 in words is "one hundred fifty-two billion, one hundred fifteen million, five hundred ten thousand, four hundred".