137401920 has 392 divisors, whose sum is σ = 533034240. Its totient is φ = 33592320.

The previous prime is 137401919. The next prime is 137401921. The reversal of 137401920 is 29104731.

It is an interprime number because it is at equal distance from previous prime (137401919) and next prime (137401921).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137401921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4432305 + ... + 4432335.

Almost surely, 2^137401920 is an apocalyptic number.

137401920 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 137401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266517120).

137401920 is an abundant number, since it is smaller than the sum of its proper divisors (395632320).

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

137401920 is an equidigital number, since it uses as much as digits as its factorization.

137401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 137401920 is about 11721.8565082499. The cubic root of 137401920 is about 516.0173060718.

The spelling of 137401920 in words is "one hundred thirty-seven million, four hundred one thousand, nine hundred twenty".