137009105856 has 448 divisors, whose sum is σ = 503145308160. Its totient is φ = 35652648960.

The previous prime is 137009105837. The next prime is 137009105879. The reversal of 137009105856 is 658501900731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×137009105856² (a number of 23 digits) contains 22 as substring.

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, 6363846 + ... + 6385338.

Almost surely, 2^137009105856 is an apocalyptic number.

137009105856 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 137009105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251572654080).

137009105856 is an abundant number, since it is smaller than the sum of its proper divisors (366136202304).

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

137009105856 is a wasteful number, since it uses less digits than its factorization.

137009105856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21569 (or 21553 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 137009105856 in words is "one hundred thirty-seven billion, nine million, one hundred five thousand, eight hundred fifty-six".