137969694720 has 1728 divisors, whose sum is σ = 613343858400. Its totient is φ = 28240773120.

The previous prime is 137969694719. The next prime is 137969694743. The reversal of 137969694720 is 27496969731.

137969694720 is a `hidden beast` number, since 1 + 3 + 79 + 6 + 96 + 9 + 472 + 0 = 666.

It is a super-2 number, since 2×137969694720² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4757575666 + ... + 4757575694.

Almost surely, 2^137969694720 is an apocalyptic number.

137969694720 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 137969694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306671929200).

137969694720 is an abundant number, since it is smaller than the sum of its proper divisors (475374163680).

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

137969694720 is a wasteful number, since it uses less digits than its factorization.

137969694720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 137969694720 in words is "one hundred thirty-seven billion, nine hundred sixty-nine million, six hundred ninety-four thousand, seven hundred twenty".