2137239324900 has 81 divisors (see below), whose sum is σ = 6699195401353. Its totient is φ = 569918791200.

The previous prime is 2137239324853. The next prime is 2137239324919. The reversal of 2137239324900 is 94239327312.

The square root of 2137239324900 is 1461930.

It is a perfect power (a square), and thus also a powerful number.

2137239324900 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 239 + 324 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 769406156964 + 1367833167936 = 877158^2 + 1169544^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43833535 + ... + 43882265.

Almost surely, 2^{2137239324900} is an apocalyptic number.

2137239324900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2137239324900 is the 1461930-th square number.

It is an amenable number.

2137239324900 is an abundant number, since it is smaller than the sum of its proper divisors (4561956076453).

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

2137239324900 is an frugal number, since it uses more digits than its factorization.

2137239324900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97482 (or 48741 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 2137239324900 in words is "two trillion, one hundred thirty-seven billion, two hundred thirty-nine million, three hundred twenty-four thousand, nine hundred".