137076440 has 64 divisors (see below), whose sum is σ = 333590400. Its totient is φ = 50495488.

The previous prime is 137076437. The next prime is 137076473. The reversal of 137076440 is 44670731.

It is a happy number.

137076440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137076397 and 137076406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29816 + ... + 34104.

It is an arithmetic number, because the mean of its divisors is an integer number (5212350).

Almost surely, 2^137076440 is an apocalyptic number.

137076440 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 137076440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166795200).

137076440 is an abundant number, since it is smaller than the sum of its proper divisors (196513960).

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

137076440 is a wasteful number, since it uses less digits than its factorization.

137076440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 137076440 is about 11707.9648103332. The cubic root of 137076440 is about 515.6095337387.

The spelling of 137076440 in words is "one hundred thirty-seven million, seventy-six thousand, four hundred forty".