137631495168 has 352 divisors, whose sum is σ = 433202843520. Its totient is φ = 43015864320.

The previous prime is 137631495137. The next prime is 137631495191. The reversal of 137631495168 is 861594136731.

137631495168 is a `hidden beast` number, since 1 + 37 + 63 + 1 + 495 + 1 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208216758 + ... + 208217418.

Almost surely, 2^137631495168 is an apocalyptic number.

137631495168 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 137631495168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216601421760).

137631495168 is an abundant number, since it is smaller than the sum of its proper divisors (295571348352).

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

137631495168 is a wasteful number, since it uses less digits than its factorization.

137631495168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1126 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 137631495168 in words is "one hundred thirty-seven billion, six hundred thirty-one million, four hundred ninety-five thousand, one hundred sixty-eight".