137109729456 has 240 divisors, whose sum is σ = 464086293600. Its totient is φ = 38637139968.

The previous prime is 137109729443. The next prime is 137109729467. The reversal of 137109729456 is 654927901731.

137109729456 is a `hidden beast` number, since 13 + 7 + 109 + 72 + 9 + 456 = 666.

It is a super-2 number, since 2×137109729456² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1500900 + ... + 1589628.

It is an arithmetic number, because the mean of its divisors is an integer number (1933692890).

Almost surely, 2^137109729456 is an apocalyptic number.

137109729456 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 137109729456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232043146800).

137109729456 is an abundant number, since it is smaller than the sum of its proper divisors (326976564144).

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

137109729456 is a wasteful number, since it uses less digits than its factorization.

137109729456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88833 (or 88814 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 137109729456 in words is "one hundred thirty-seven billion, one hundred nine million, seven hundred twenty-nine thousand, four hundred fifty-six".