137163440 has 80 divisors (see below), whose sum is σ = 330782400. Its totient is φ = 52853760.

The previous prime is 137163371. The next prime is 137163469. The reversal of 137163440 is 44361731.

137163440 is digitally balanced in base 3, 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 (80).

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, 440885 + ... + 441195.

It is an arithmetic number, because the mean of its divisors is an integer number (4134780).

Almost surely, 2^137163440 is an apocalyptic number.

137163440 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 137163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165391200).

137163440 is an abundant number, since it is smaller than the sum of its proper divisors (193618960).

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

137163440 is a wasteful number, since it uses less digits than its factorization.

137163440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 137163440 is about 11711.6796404273. The cubic root of 137163440 is about 515.7185934297.

The spelling of 137163440 in words is "one hundred thirty-seven million, one hundred sixty-three thousand, four hundred forty".