137397088512 has 180 divisors, whose sum is σ = 410372099676. Its totient is φ = 45723156480.

The previous prime is 137397088457. The next prime is 137397088537. The reversal of 137397088512 is 215880793731.

It is a happy number.

137397088512 is a `hidden beast` number, since 1 + 37 + 3 + 97 + 0 + 8 + 8 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61274071296 + 76123017216 = 247536^2 + 275904^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13286608 + ... + 13296944.

Almost surely, 2^137397088512 is an apocalyptic number.

137397088512 is a gapful number since it is divisible by the number (12) 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 137397088512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205186049838).

137397088512 is an abundant number, since it is smaller than the sum of its proper divisors (272975011164).

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

137397088512 is an equidigital number, since it uses as much as digits as its factorization.

137397088512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11006 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 137397088512 in words is "one hundred thirty-seven billion, three hundred ninety-seven million, eighty-eight thousand, five hundred twelve".