137145777900 has 72 divisors (see below), whose sum is σ = 420150139920. Its totient is φ = 34420899840.

The previous prime is 137145777871. The next prime is 137145777913. The reversal of 137145777900 is 9777541731.

It is a happy number.

It is a super-2 number, since 2×137145777900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13440565 + ... + 13450764.

It is an arithmetic number, because the mean of its divisors is an integer number (5835418610).

Almost surely, 2^137145777900 is an apocalyptic number.

137145777900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137145777900 is an abundant number, since it is smaller than the sum of its proper divisors (283004362020).

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

137145777900 is a wasteful number, since it uses less digits than its factorization.

137145777900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26891363 (or 26891356 counting only the distinct ones).

The product of its (nonzero) digits is 1296540, while the sum is 51.

The spelling of 137145777900 in words is "one hundred thirty-seven billion, one hundred forty-five million, seven hundred seventy-seven thousand, nine hundred".