252134612400 has 480 divisors, whose sum is σ = 897797751552. Its totient is φ = 59974041600.

The previous prime is 252134612381. The next prime is 252134612407. The reversal of 252134612400 is 4216431252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (252134612407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224518239 + ... + 224519361.

Almost surely, 2^252134612400 is an apocalyptic number.

252134612400 is a gapful number since it is divisible by the number (20) 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 252134612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448898875776).

252134612400 is an abundant number, since it is smaller than the sum of its proper divisors (645663139152).

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

252134612400 is a wasteful number, since it uses less digits than its factorization.

252134612400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 252134612400 in words is "two hundred fifty-two billion, one hundred thirty-four million, six hundred twelve thousand, four hundred".