152605100264100 has 144 divisors (see below), whose sum is σ = 494695492003776. Its totient is φ = 35995306176000.

The previous prime is 152605100264053. The next prime is 152605100264117. The reversal of 152605100264100 is 1462001506251.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624796411 + ... + 625040610.

Almost surely, 2^{152605100264100} is an apocalyptic number.

152605100264100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152605100264100 is an abundant number, since it is smaller than the sum of its proper divisors (342090391739676).

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

152605100264100 is a wasteful number, since it uses less digits than its factorization.

152605100264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249837086 (or 1249837079 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 152605100264100 in words is "one hundred fifty-two trillion, six hundred five billion, one hundred million, two hundred sixty-four thousand, one hundred".