137370615648912 has 120 divisors (see below), whose sum is σ = 407202475694976. Its totient is φ = 43081733680128.

The previous prime is 137370615648911. The next prime is 137370615648983. The reversal of 137370615648912 is 219846516073731.

137370615648912 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 7 + 0 + 61 + 564 + 8 + 9 + 1 + 2 = 666.

It is a super-3 number, since 3×137370615648912³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 137370615648912.

It is not an unprimeable number, because it can be changed into a prime (137370615648911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2651268 + ... + 16786019.

It is a 1-persistent number, because it is pandigital, but 2⋅137370615648912 = 274741231297824 is not.

Almost surely, 2^{137370615648912} is an apocalyptic number.

137370615648912 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 137370615648912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203601237847488).

137370615648912 is an abundant number, since it is smaller than the sum of its proper divisors (269831860046064).

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

137370615648912 is a wasteful number, since it uses less digits than its factorization.

137370615648912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19440205 (or 19440196 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 137370615648912 in words is "one hundred thirty-seven trillion, three hundred seventy billion, six hundred fifteen million, six hundred forty-eight thousand, nine hundred twelve".