137629761494688 has 144 divisors (see below), whose sum is σ = 395339626301256. Its totient is φ = 45413182003200.

The previous prime is 137629761494681. The next prime is 137629761494711. The reversal of 137629761494688 is 886494167926731.

137629761494688 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 2 + 9 + 7 + 6 + 149 + 468 + 8 = 666.

137629761494688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 132895429568784 + 4734331925904 = 11528028^2 + 2175852^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (137629761494681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144178906 + ... + 145130342.

Almost surely, 2^{137629761494688} is an apocalyptic number.

137629761494688 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 137629761494688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197669813150628).

137629761494688 is an abundant number, since it is smaller than the sum of its proper divisors (257709864806568).

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

137629761494688 is a wasteful number, since it uses less digits than its factorization.

137629761494688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956527 (or 956516 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 81.

The spelling of 137629761494688 in words is "one hundred thirty-seven trillion, six hundred twenty-nine billion, seven hundred sixty-one million, four hundred ninety-four thousand, six hundred eighty-eight".