152504442400 has 144 divisors (see below), whose sum is σ = 393396696000. Its totient is φ = 57569909760.

The previous prime is 152504442379. The next prime is 152504442407. The reversal of 152504442400 is 4244405251.

It is not an unprimeable number, because it can be changed into a prime (152504442407) 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, 3978526 + ... + 4016674.

It is an arithmetic number, because the mean of its divisors is an integer number (2731921500).

Almost surely, 2^152504442400 is an apocalyptic number.

152504442400 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 152504442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196698348000).

152504442400 is an abundant number, since it is smaller than the sum of its proper divisors (240892253600).

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

152504442400 is a wasteful number, since it uses less digits than its factorization.

152504442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38451 (or 38438 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 152504442400 its reverse (4244405251), we get a palindrome (156748847651).

The spelling of 152504442400 in words is "one hundred fifty-two billion, five hundred four million, four hundred forty-two thousand, four hundred".