137194968960 has 1536 divisors, whose sum is σ = 604910592000. Its totient is φ = 27948810240.

The previous prime is 137194968949. The next prime is 137194969003. The reversal of 137194968960 is 69869491731.

137194968960 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 9 + 496 + 89 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1258669386 + ... + 1258669494.

It is an arithmetic number, because the mean of its divisors is an integer number (393822000).

Almost surely, 2^137194968960 is an apocalyptic number.

137194968960 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 137194968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302455296000).

137194968960 is an abundant number, since it is smaller than the sum of its proper divisors (467715623040).

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

137194968960 is a wasteful number, since it uses less digits than its factorization.

137194968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 137194968960 in words is "one hundred thirty-seven billion, one hundred ninety-four million, nine hundred sixty-eight thousand, nine hundred sixty".