137035440 has 120 divisors (see below), whose sum is σ = 476152560. Its totient is φ = 35277312.

The previous prime is 137035421. The next prime is 137035441. The reversal of 137035440 is 44530731.

137035440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (137035441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17599 + ... + 24161.

It is an arithmetic number, because the mean of its divisors is an integer number (3967938).

Almost surely, 2^137035440 is an apocalyptic number.

137035440 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 137035440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238076280).

137035440 is an abundant number, since it is smaller than the sum of its proper divisors (339117120).

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

137035440 is a wasteful number, since it uses less digits than its factorization.

137035440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6611 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 137035440 is about 11706.2137345941. The cubic root of 137035440 is about 515.5581217944.

The spelling of 137035440 in words is "one hundred thirty-seven million, thirty-five thousand, four hundred forty".