137897920 has 56 divisors (see below), whose sum is σ = 338986368. Its totient is φ = 53376000.

The previous prime is 137897917. The next prime is 137897933. The reversal of 137897920 is 29798731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2970 + ... + 16870.

It is an arithmetic number, because the mean of its divisors is an integer number (6053328).

Almost surely, 2^137897920 is an apocalyptic number.

137897920 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 137897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169493184).

137897920 is an abundant number, since it is smaller than the sum of its proper divisors (201088448).

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

137897920 is a wasteful number, since it uses less digits than its factorization.

137897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13949 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 137897920 is about 11742.9945073648. The cubic root of 137897920 is about 516.6374750532.

The spelling of 137897920 in words is "one hundred thirty-seven million, eight hundred ninety-seven thousand, nine hundred twenty".