137405772 has 144 divisors (see below), whose sum is σ = 419607552. Its totient is φ = 37065600.

The previous prime is 137405767. The next prime is 137405791. The reversal of 137405772 is 277504731.

137405772 is a `hidden beast` number, since 13 + 74 + 0 + 577 + 2 = 666.

137405772 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

137405772 is strictly pandigital in base 9.

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, 875118 + ... + 875274.

Almost surely, 2^137405772 is an apocalyptic number.

137405772 is a gapful number since it is divisible by the number (12) 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 137405772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209803776).

137405772 is an abundant number, since it is smaller than the sum of its proper divisors (282201780).

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

137405772 is a wasteful number, since it uses less digits than its factorization.

137405772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 137405772 is about 11722.0208155420. The cubic root of 137405772 is about 516.0221281298.

The spelling of 137405772 in words is "one hundred thirty-seven million, four hundred five thousand, seven hundred seventy-two".