252120133309128 has 64 divisors (see below), whose sum is σ = 720886074562560. Its totient is φ = 71980040149056.

The previous prime is 252120133309021. The next prime is 252120133309237. The reversal of 252120133309128 is 821903331021252.

252120133309128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 252120133309128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565231126 + ... + 565676997.

It is an arithmetic number, because the mean of its divisors is an integer number (11263844915040).

Almost surely, 2^{252120133309128} is an apocalyptic number.

252120133309128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252120133309128 is an abundant number, since it is smaller than the sum of its proper divisors (468765941253432).

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

252120133309128 is a wasteful number, since it uses less digits than its factorization.

252120133309128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130909466 (or 1130909462 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 252120133309128 in words is "two hundred fifty-two trillion, one hundred twenty billion, one hundred thirty-three million, three hundred nine thousand, one hundred twenty-eight".