137049696 has 144 divisors (see below), whose sum is σ = 449283744. Its totient is φ = 38817792.

The previous prime is 137049659. The next prime is 137049701. The reversal of 137049696 is 696940731.

137049696 = T₇₁ + T₇₂ + ... + T₉₃₆.

137049696 is a `hidden beast` number, since 1 + 3 + 70 + 496 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 316296 + ... + 316728.

It is an arithmetic number, because the mean of its divisors is an integer number (3120026).

Almost surely, 2^137049696 is an apocalyptic number.

137049696 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 137049696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224641872).

137049696 is an abundant number, since it is smaller than the sum of its proper divisors (312234048).

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

137049696 is a wasteful number, since it uses less digits than its factorization.

137049696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 137049696 is about 11706.8226261441. The cubic root of 137049696 is about 515.5759992664.

The spelling of 137049696 in words is "one hundred thirty-seven million, forty-nine thousand, six hundred ninety-six".