137814964 has 48 divisors (see below), whose sum is σ = 286433280. Its totient is φ = 56774880.

The previous prime is 137814959. The next prime is 137814991. The reversal of 137814964 is 469418731.

137814964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137814964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154929 + ... + 155815.

It is an arithmetic number, because the mean of its divisors is an integer number (5967360).

Almost surely, 2^137814964 is an apocalyptic number.

137814964 is a gapful number since it is divisible by the number (14) 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 137814964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143216640).

137814964 is an abundant number, since it is smaller than the sum of its proper divisors (148618316).

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

137814964 is a wasteful number, since it uses less digits than its factorization.

137814964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1106 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 137814964 is about 11739.4618275286. The cubic root of 137814964 is about 516.5338554690.

The spelling of 137814964 in words is "one hundred thirty-seven million, eight hundred fourteen thousand, nine hundred sixty-four".