137129381568 has 140 divisors (see below), whose sum is σ = 427889197560. Its totient is φ = 43303984128.

The previous prime is 137129381561. The next prime is 137129381569. The reversal of 137129381568 is 865183921731.

137129381568 is a `hidden beast` number, since 1 + 3 + 71 + 2 + 9 + 3 + 8 + 1 + 568 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (137129381561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 597621 + ... + 794612.

Almost surely, 2^137129381568 is an apocalyptic number.

137129381568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137129381568 is an abundant number, since it is smaller than the sum of its proper divisors (290759815992).

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

137129381568 is a wasteful number, since it uses less digits than its factorization.

137129381568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392276 (or 1392257 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 137129381568 in words is "one hundred thirty-seven billion, one hundred twenty-nine million, three hundred eighty-one thousand, five hundred sixty-eight".