137084976 has 240 divisors, whose sum is σ = 467970048. Its totient is φ = 36633600.

The previous prime is 137084953. The next prime is 137084993. The reversal of 137084976 is 679480731.

137084976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1281115 + ... + 1281221.

Almost surely, 2^137084976 is an apocalyptic number.

137084976 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 137084976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

137084976 is an abundant number, since it is smaller than the sum of its proper divisors (330885072).

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

137084976 is a wasteful number, since it uses less digits than its factorization.

137084976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 137084976 is about 11708.3293428226. The cubic root of 137084976 is about 515.6202361654.

The spelling of 137084976 in words is "one hundred thirty-seven million, eighty-four thousand, nine hundred seventy-six".