137289263104 has 72 divisors (see below), whose sum is σ = 319329926370. Its totient is φ = 58838212608.

The previous prime is 137289263071. The next prime is 137289263107. The reversal of 137289263104 is 401362982731.

It can be written as a sum of positive squares in only one way, i.e., 99048678400 + 38240584704 = 314720^2 + 195552^2 .

It is not an unprimeable number, because it can be changed into a prime (137289263107) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 583687 + ... + 784390.

Almost surely, 2^137289263104 is an apocalyptic number.

137289263104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137289263104 is an abundant number, since it is smaller than the sum of its proper divisors (182040663266).

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

137289263104 is an equidigital number, since it uses as much as digits as its factorization.

137289263104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368113 (or 1368086 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 137289263104 in words is "one hundred thirty-seven billion, two hundred eighty-nine million, two hundred sixty-three thousand, one hundred four".