137966976 has 160 divisors (see below), whose sum is σ = 469489680. Its totient is φ = 39398400.

The previous prime is 137966971. The next prime is 137966993. The reversal of 137966976 is 679669731.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137966971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71626 + ... + 73526.

Almost surely, 2^137966976 is an apocalyptic number.

137966976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234744840).

137966976 is an abundant number, since it is smaller than the sum of its proper divisors (331522704).

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

137966976 is an equidigital number, since it uses as much as digits as its factorization.

137966976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1913 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 137966976 is about 11745.9344455858. The cubic root of 137966976 is about 516.7237005833.

The spelling of 137966976 in words is "one hundred thirty-seven million, nine hundred sixty-six thousand, nine hundred seventy-six".