137028780 has 96 divisors (see below), whose sum is σ = 487226880. Its totient is φ = 31320000.

The previous prime is 137028763. The next prime is 137028833. The reversal of 137028780 is 87820731.

137028780 is a `hidden beast` number, since 1 + 370 + 287 + 8 + 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14346 + ... + 21905.

It is an arithmetic number, because the mean of its divisors is an integer number (5075280).

Almost surely, 2^137028780 is an apocalyptic number.

137028780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137028780 is an abundant number, since it is smaller than the sum of its proper divisors (350198100).

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

137028780 is a wasteful number, since it uses less digits than its factorization.

137028780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36276 (or 36268 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 137028780 is about 11705.9292668288. The cubic root of 137028780 is about 515.5497695202.

The spelling of 137028780 in words is "one hundred thirty-seven million, twenty-eight thousand, seven hundred eighty".