137498572864 has 21 divisors (see below), whose sum is σ = 272854617231. Its totient is φ = 68747803200.

The previous prime is 137498572843. The next prime is 137498572891. The reversal of 137498572864 is 468275894731.

The square root of 137498572864 is 370808.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137498572796 and 137498572805.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2943289 + ... + 2989639.

It is an arithmetic number, because the mean of its divisors is an integer number (12993077011).

Almost surely, 2^137498572864 is an apocalyptic number.

137498572864 is the 370808-th square number.

It is an amenable number.

137498572864 is a deficient number, since it is larger than the sum of its proper divisors (135356044367).

137498572864 is an frugal number, since it uses more digits than its factorization.

137498572864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92714 (or 46353 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 64.

Multiplying 137498572864 by its sum of digits (64), we get a square (8799908663296 = 2966464²).

137498572864 divided by its sum of digits (64) gives a square (2148415201 = 46351²).

The spelling of 137498572864 in words is "one hundred thirty-seven billion, four hundred ninety-eight million, five hundred seventy-two thousand, eight hundred sixty-four".