137988137891772 has 288 divisors, whose sum is σ = 419707806336000. Its totient is φ = 37371754506240.

The previous prime is 137988137891689. The next prime is 137988137891827. The reversal of 137988137891772 is 277198731889731.

137988137891772 is a `hidden beast` number, since 1 + 3 + 7 + 98 + 8 + 1 + 378 + 91 + 7 + 72 = 666.

It is a super-2 number, since 2×137988137891772² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137988137891691 and 137988137891700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6385077247 + ... + 6385098857.

It is an arithmetic number, because the mean of its divisors is an integer number (1457318772000).

Almost surely, 2^{137988137891772} is an apocalyptic number.

137988137891772 is a gapful number since it is divisible by the number (12) 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 137988137891772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209853903168000).

137988137891772 is an abundant number, since it is smaller than the sum of its proper divisors (281719668444228).

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

137988137891772 is a wasteful number, since it uses less digits than its factorization.

137988137891772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31513 (or 31508 counting only the distinct ones).

The product of its digits is 1792336896, while the sum is 81.

The spelling of 137988137891772 in words is "one hundred thirty-seven trillion, nine hundred eighty-eight billion, one hundred thirty-seven million, eight hundred ninety-one thousand, seven hundred seventy-two".