137299140 has 144 divisors (see below), whose sum is σ = 481178880. Its totient is φ = 31319040.

The previous prime is 137299139. The next prime is 137299163. The reversal of 137299140 is 41992731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137299095 and 137299104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31621 + ... + 35699.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2^137299140 is an apocalyptic number.

137299140 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 137299140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

137299140 is an abundant number, since it is smaller than the sum of its proper divisors (343879740).

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

137299140 is a wasteful number, since it uses less digits than its factorization.

137299140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 137299140 is about 11717.4715702663. The cubic root of 137299140 is about 515.8886094511. Note that the first 3 decimals are identical.

The spelling of 137299140 in words is "one hundred thirty-seven million, two hundred ninety-nine thousand, one hundred forty".