137117448000 has 1120 divisors, whose sum is σ = 561014502048. Its totient is φ = 32845824000.

The previous prime is 137117447983. The next prime is 137117448031. The reversal of 137117448000 is 844711731.

137117448000 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 174 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 132624158976 + 4493289024 = 364176^2 + 67032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 345383802 + ... + 345384198.

Almost surely, 2^137117448000 is an apocalyptic number.

137117448000 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 137117448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280507251024).

137117448000 is an abundant number, since it is smaller than the sum of its proper divisors (423897054048).

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

137117448000 is a wasteful number, since it uses less digits than its factorization.

137117448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 137117448000 in words is "one hundred thirty-seven billion, one hundred seventeen million, four hundred forty-eight thousand".