152032512400 has 120 divisors (see below), whose sum is σ = 371153637504. Its totient is φ = 59838912000.

The previous prime is 152032512323. The next prime is 152032512407. The reversal of 152032512400 is 4215230251.

It is a super-2 number, since 2×152032512400² (a number of 23 digits) contains 22 as substring.

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 (152032512407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6573657 + ... + 6596743.

Almost surely, 2^152032512400 is an apocalyptic number.

152032512400 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 152032512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185576818752).

152032512400 is an abundant number, since it is smaller than the sum of its proper divisors (219121125104).

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

152032512400 is a wasteful number, since it uses less digits than its factorization.

152032512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23369 (or 23358 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 152032512400 its reverse (4215230251), we get a palindrome (156247742651).

The spelling of 152032512400 in words is "one hundred fifty-two billion, thirty-two million, five hundred twelve thousand, four hundred".