137572909056 has 760 divisors, whose sum is σ = 487209423360. Its totient is φ = 38220595200.

The previous prime is 137572909031. The next prime is 137572909057. The reversal of 137572909056 is 650909275731.

137572909056 is a `hidden beast` number, since 13 + 7 + 572 + 9 + 0 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×137572909056² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 137572908993 and 137572909011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137572909057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4437835761 + ... + 4437835791.

Almost surely, 2^137572909056 is an apocalyptic number.

137572909056 is a gapful number since it is divisible by the number (16) 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 137572909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243604711680).

137572909056 is an abundant number, since it is smaller than the sum of its proper divisors (349636514304).

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

137572909056 is an frugal number, since it uses more digits than its factorization.

137572909056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 137572909056 in words is "one hundred thirty-seven billion, five hundred seventy-two million, nine hundred nine thousand, fifty-six".