137076940 has 192 divisors, whose sum is σ = 398297088. Its totient is φ = 38246400.

The previous prime is 137076923. The next prime is 137076977. The reversal of 137076940 is 49670731.

137076940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137076940.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 820737 + ... + 820903.

It is an arithmetic number, because the mean of its divisors is an integer number (2074464).

Almost surely, 2^137076940 is an apocalyptic number.

137076940 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 137076940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199148544).

137076940 is an abundant number, since it is smaller than the sum of its proper divisors (261220148).

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

137076940 is a wasteful number, since it uses less digits than its factorization.

137076940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 137076940 is about 11707.9861632990. The cubic root of 137076940 is about 515.6101606504.

The spelling of 137076940 in words is "one hundred thirty-seven million, seventy-six thousand, nine hundred forty".