137918052 has 42 divisors (see below), whose sum is σ = 361876998. Its totient is φ = 45971712.

The previous prime is 137918047. The next prime is 137918083. The reversal of 137918052 is 250819731.

137918052 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 106378596 + 31539456 = 10314^2 + 5616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137917998 and 137918016.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 20733 + ... + 26564.

It is an arithmetic number, because the mean of its divisors is an integer number (8616119).

Almost surely, 2^137918052 is an apocalyptic number.

137918052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137918052 is an abundant number, since it is smaller than the sum of its proper divisors (223958946).

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

137918052 is an equidigital number, since it uses as much as digits as its factorization.

137918052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47319 (or 47302 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 137918052 is about 11743.8516680006. The cubic root of 137918052 is about 516.6626154845.

The spelling of 137918052 in words is "one hundred thirty-seven million, nine hundred eighteen thousand, fifty-two".