137666496 has 56 divisors (see below), whose sum is σ = 397361664. Its totient is φ = 41716480.

The previous prime is 137666491. The next prime is 137666531. The reversal of 137666496 is 694666731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137666491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30480 + ... + 34703.

It is an arithmetic number, because the mean of its divisors is an integer number (7095744).

Almost surely, 2^137666496 is an apocalyptic number.

137666496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137666496 is an abundant number, since it is smaller than the sum of its proper divisors (259695168).

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

137666496 is a wasteful number, since it uses less digits than its factorization.

137666496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65209 (or 65199 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 137666496 is about 11733.1366650184. The cubic root of 137666496 is about 516.3483015890.

The spelling of 137666496 in words is "one hundred thirty-seven million, six hundred sixty-six thousand, four hundred ninety-six".