137345856 has 112 divisors (see below), whose sum is σ = 398312640. Its totient is φ = 41574400.

The previous prime is 137345837. The next prime is 137345863. The reversal of 137345856 is 658543731.

Its product of digits (302400) is a multiple of the sum of its prime factors (1512).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93931 + ... + 95381.

Almost surely, 2^137345856 is an apocalyptic number.

137345856 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 137345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199156320).

137345856 is an abundant number, since it is smaller than the sum of its proper divisors (260966784).

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

137345856 is a wasteful number, since it uses less digits than its factorization.

137345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1502 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 137345856 is about 11719.4648341978. The cubic root of 137345856 is about 515.9471131422.

The spelling of 137345856 in words is "one hundred thirty-seven million, three hundred forty-five thousand, eight hundred fifty-six".