137197047530088 has 1536 divisors, whose sum is σ = 513089740800000. Its totient is φ = 34067752104960.

The previous prime is 137197047530069. The next prime is 137197047530093. The reversal of 137197047530088 is 880035740791731.

137197047530088 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 97 + 0 + 4 + 7 + 530 + 0 + 8 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9942528613 + ... + 9942542411.

It is an arithmetic number, because the mean of its divisors is an integer number (334042800000).

Almost surely, 2^{137197047530088} is an apocalyptic number.

137197047530088 is a gapful number since it is divisible by the number (18) 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 137197047530088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256544870400000).

137197047530088 is an abundant number, since it is smaller than the sum of its proper divisors (375892693269912).

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

137197047530088 is a wasteful number, since it uses less digits than its factorization.

137197047530088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13922 (or 13892 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 137197047530088 in words is "one hundred thirty-seven trillion, one hundred ninety-seven billion, forty-seven million, five hundred thirty thousand, eighty-eight".