137379840 has 240 divisors, whose sum is σ = 484427328. Its totient is φ = 33030144.

The previous prime is 137379799. The next prime is 137379841. The reversal of 137379840 is 48973731.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 137379792 and 137379801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137379841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3194859 + ... + 3194901.

Almost surely, 2^137379840 is an apocalyptic number.

137379840 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 137379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242213664).

137379840 is an abundant number, since it is smaller than the sum of its proper divisors (347047488).

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

137379840 is an equidigital number, since it uses as much as digits as its factorization.

137379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 137379840 is about 11720.9146400782. The cubic root of 137379840 is about 515.9896638756.

The spelling of 137379840 in words is "one hundred thirty-seven million, three hundred seventy-nine thousand, eight hundred forty".