137055780 has 96 divisors (see below), whose sum is σ = 428198400. Its totient is φ = 36393984.

The previous prime is 137055767. The next prime is 137055829. The reversal of 137055780 is 87550731.

137055780 is a `hidden beast` number, since 13 + 70 + 5 + 578 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 190261 + ... + 190979.

It is an arithmetic number, because the mean of its divisors is an integer number (4460400).

Almost surely, 2^137055780 is an apocalyptic number.

137055780 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 137055780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214099200).

137055780 is an abundant number, since it is smaller than the sum of its proper divisors (291142620).

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

137055780 is a wasteful number, since it uses less digits than its factorization.

137055780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 137055780 is about 11707.0824717348. The cubic root of 137055780 is about 515.5836284161.

The spelling of 137055780 in words is "one hundred thirty-seven million, fifty-five thousand, seven hundred eighty".