137076640 has 96 divisors (see below), whose sum is σ = 346489920. Its totient is φ = 51093504.

The previous prime is 137076629. The next prime is 137076673. The reversal of 137076640 is 46670731.

It is a junction number, because it is equal to n+sod(n) for n = 137076596 and 137076605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203344 + ... + 204016.

It is an arithmetic number, because the mean of its divisors is an integer number (3609270).

Almost surely, 2^137076640 is an apocalyptic number.

137076640 is a gapful number since it is divisible by the number (10) 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 137076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173244960).

137076640 is an abundant number, since it is smaller than the sum of its proper divisors (209413280).

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

137076640 is a wasteful number, since it uses less digits than its factorization.

137076640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 137076640 is about 11707.9733515242. The cubic root of 137076640 is about 515.6097845036.

The spelling of 137076640 in words is "one hundred thirty-seven million, seventy-six thousand, six hundred forty".