137948503680 has 512 divisors, whose sum is σ = 534828268800. Its totient is φ = 33396572160.

The previous prime is 137948503657. The next prime is 137948503711. The reversal of 137948503680 is 86305849731.

137948503680 is a `hidden beast` number, since 1 + 3 + 79 + 4 + 8 + 503 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13698007 + ... + 13708073.

Almost surely, 2^137948503680 is an apocalyptic number.

137948503680 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 137948503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267414134400).

137948503680 is an abundant number, since it is smaller than the sum of its proper divisors (396879765120).

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

137948503680 is a wasteful number, since it uses less digits than its factorization.

137948503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10169 (or 10151 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 137948503680 in words is "one hundred thirty-seven billion, nine hundred forty-eight million, five hundred three thousand, six hundred eighty".