137438964 has 96 divisors (see below), whose sum is σ = 391184640. Its totient is φ = 41468544.

The previous prime is 137438957. The next prime is 137438971. The reversal of 137438964 is 469834731.

It is an interprime number because it is at equal distance from previous prime (137438957) and next prime (137438971).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73489 + ... + 75335.

It is an arithmetic number, because the mean of its divisors is an integer number (4074840).

Almost surely, 2^137438964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137438964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592320).

137438964 is an abundant number, since it is smaller than the sum of its proper divisors (253745676).

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

137438964 is a wasteful number, since it uses less digits than its factorization.

137438964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1918 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 137438964 is about 11723.4365268892. The cubic root of 137438964 is about 516.0636752140.

The spelling of 137438964 in words is "one hundred thirty-seven million, four hundred thirty-eight thousand, nine hundred sixty-four".