137018820 has 48 divisors (see below), whose sum is σ = 400337280. Its totient is φ = 34949376.

The previous prime is 137018809. The next prime is 137018821. The reversal of 137018820 is 28810731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (137018821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48265 + ... + 51024.

It is an arithmetic number, because the mean of its divisors is an integer number (8340360).

Almost surely, 2^137018820 is an apocalyptic number.

137018820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137018820 is an abundant number, since it is smaller than the sum of its proper divisors (263318460).

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

137018820 is a wasteful number, since it uses less digits than its factorization.

137018820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99324 (or 99322 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 137018820 is about 11705.5038336673. The cubic root of 137018820 is about 515.5372782267.

The spelling of 137018820 in words is "one hundred thirty-seven million, eighteen thousand, eight hundred twenty".