137806519104 has 448 divisors, whose sum is σ = 429232527360. Its totient is φ = 43296768000.

The previous prime is 137806519087. The next prime is 137806519121. The reversal of 137806519104 is 401915608731.

It is an interprime number because it is at equal distance from previous prime (137806519087) and next prime (137806519121).

It is a super-2 number, since 2×137806519104² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137806519104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591444172 + ... + 591444404.

It is an arithmetic number, because the mean of its divisors is an integer number (958108320).

Almost surely, 2^137806519104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137806519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214616263680).

137806519104 is an abundant number, since it is smaller than the sum of its proper divisors (291426008256).

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

137806519104 is a wasteful number, since it uses less digits than its factorization.

137806519104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 137806519104 in words is "one hundred thirty-seven billion, eight hundred six million, five hundred nineteen thousand, one hundred four".