137796120 has 256 divisors, whose sum is σ = 573004800. Its totient is φ = 28615680.

The previous prime is 137796097. The next prime is 137796193. The reversal of 137796120 is 21697731.

It is a happy number.

137796120 is a `hidden beast` number, since 1 + 37 + 7 + 9 + 612 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82332 + ... + 83988.

It is an arithmetic number, because the mean of its divisors is an integer number (2238300).

Almost surely, 2^137796120 is an apocalyptic number.

137796120 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 137796120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286502400).

137796120 is an abundant number, since it is smaller than the sum of its proper divisors (435208680).

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

137796120 is a wasteful number, since it uses less digits than its factorization.

137796120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 137796120 is about 11738.6592079334. The cubic root of 137796120 is about 516.5103118050.

The spelling of 137796120 in words is "one hundred thirty-seven million, seven hundred ninety-six thousand, one hundred twenty".