152461263366100 has 36 divisors (see below), whose sum is σ = 356290244700124. Its totient is φ = 56293389550080.

The previous prime is 152461263366067. The next prime is 152461263366119. The reversal of 152461263366100 is 1663362164251.

It can be written as a sum of positive squares in 6 ways, for example, as 155996561296 + 152305266804804 = 394964^2 + 12341202^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58638946149 + ... + 58638948748.

Almost surely, 2^{152461263366100} is an apocalyptic number.

152461263366100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152461263366100 is an abundant number, since it is smaller than the sum of its proper divisors (203828981334024).

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

152461263366100 is a wasteful number, since it uses less digits than its factorization.

152461263366100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117277894924 (or 117277894917 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 152461263366100 in words is "one hundred fifty-two trillion, four hundred sixty-one billion, two hundred sixty-three million, three hundred sixty-six thousand, one hundred".