152504233400 has 288 divisors, whose sum is σ = 392971812480. Its totient is φ = 54960768000.

The previous prime is 152504233373. The next prime is 152504233417. The reversal of 152504233400 is 4332405251.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136529642 + ... + 136530758.

It is an arithmetic number, because the mean of its divisors is an integer number (1364485460).

Almost surely, 2^152504233400 is an apocalyptic number.

152504233400 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 152504233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196485906240).

152504233400 is an abundant number, since it is smaller than the sum of its proper divisors (240467579080).

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

152504233400 is a wasteful number, since it uses less digits than its factorization.

152504233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 152504233400 its reverse (4332405251), we get a palindrome (156836638651).

The spelling of 152504233400 in words is "one hundred fifty-two billion, five hundred four million, two hundred thirty-three thousand, four hundred".