137004681 has 16 divisors (see below), whose sum is σ = 199507968. Its totient is φ = 82938000.

The previous prime is 137004677. The next prime is 137004689. The reversal of 137004681 is 186400731.

It is a happy number.

It is not a de Polignac number, because 137004681 - 2² = 137004677 is a prime.

It is a super-2 number, since 2×137004681² = 37540565231823522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137004689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36180 + ... + 39786.

It is an arithmetic number, because the mean of its divisors is an integer number (12469248).

Almost surely, 2^137004681 is an apocalyptic number.

137004681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137004681 is a deficient number, since it is larger than the sum of its proper divisors (62503287).

137004681 is a wasteful number, since it uses less digits than its factorization.

137004681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 137004681 is about 11704.8998714214. The cubic root of 137004681 is about 515.5195448177.

It can be divided in two parts, 13700 and 4681, that added together give a palindrome (18381).

The spelling of 137004681 in words is "one hundred thirty-seven million, four thousand, six hundred eighty-one".