137655936000 has 1760 divisors, whose sum is σ = 600916402944. Its totient is φ = 30965760000.

The previous prime is 137655935981. The next prime is 137655936013. The reversal of 137655936000 is 639556731.

137655936000 is a `hidden beast` number, since 1 + 37 + 6 + 5 + 5 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 1938815965 + ... + 1938816035.

Almost surely, 2^137655936000 is an apocalyptic number.

137655936000 is a gapful number since it is divisible by the number (10) 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 137655936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300458201472).

137655936000 is an abundant number, since it is smaller than the sum of its proper divisors (463260466944).

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

137655936000 is a wasteful number, since it uses less digits than its factorization.

137655936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 137655936000 in words is "one hundred thirty-seven billion, six hundred fifty-five million, nine hundred thirty-six thousand".