252134179799040 has 6528 divisors, whose sum is σ = 1246532269731840. Its totient is φ = 47291616460800.

The previous prime is 252134179798937. The next prime is 252134179799041. The reversal of 252134179799040 is 40997971431252.

252134179799040 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 3 + 417 + 97 + 9 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6528).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (252134179799041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4273460674531 + ... + 4273460674589.

Almost surely, 2^{252134179799040} is an apocalyptic number.

252134179799040 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 252134179799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623266134865920).

252134179799040 is an abundant number, since it is smaller than the sum of its proper divisors (994398089932800).

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

252134179799040 is an equidigital number, since it uses as much as digits as its factorization.

252134179799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 252134179799040 in words is "two hundred fifty-two trillion, one hundred thirty-four billion, one hundred seventy-nine million, seven hundred ninety-nine thousand, forty".