137915785728 has 480 divisors, whose sum is σ = 480016152000. Its totient is φ = 38979698688.

The previous prime is 137915785699. The next prime is 137915785757. The reversal of 137915785728 is 827587519731.

137915785728 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 1 + 57 + 8 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (137915785699) and next prime (137915785757).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 65704423 + ... + 65706521.

It is an arithmetic number, because the mean of its divisors is an integer number (1000033650).

Almost surely, 2^137915785728 is an apocalyptic number.

137915785728 is a gapful number since it is divisible by the number (18) 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 137915785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240008076000).

137915785728 is an abundant number, since it is smaller than the sum of its proper divisors (342100366272).

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

137915785728 is an equidigital number, since it uses as much as digits as its factorization.

137915785728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2208 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 63.

The spelling of 137915785728 in words is "one hundred thirty-seven billion, nine hundred fifteen million, seven hundred eighty-five thousand, seven hundred twenty-eight".