137293056 has 108 divisors (see below), whose sum is σ = 410696832. Its totient is φ = 45743616.

The previous prime is 137293019. The next prime is 137293087. The reversal of 137293056 is 650392731.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137293056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61105 + ... + 63311.

Almost surely, 2^137293056 is an apocalyptic number.

137293056 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 137293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205348416).

137293056 is an abundant number, since it is smaller than the sum of its proper divisors (273403776).

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

137293056 is an frugal number, since it uses more digits than its factorization.

137293056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 137293056 is about 11717.2119550685. The cubic root of 137293056 is about 515.8809893192.

The spelling of 137293056 in words is "one hundred thirty-seven million, two hundred ninety-three thousand, fifty-six".