137824064 has 84 divisors (see below), whose sum is σ = 323148960. Its totient is φ = 58141440.

The previous prime is 137824061. The next prime is 137824067. The reversal of 137824064 is 460428731.

It is an interprime number because it is at equal distance from previous prime (137824061) and next prime (137824067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137824061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222347 + ... + 222965.

Almost surely, 2^137824064 is an apocalyptic number.

137824064 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 137824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161574480).

137824064 is an abundant number, since it is smaller than the sum of its proper divisors (185324896).

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

137824064 is an equidigital number, since it uses as much as digits as its factorization.

137824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 137824064 is about 11739.8494027820. The cubic root of 137824064 is about 516.5452242263.

The spelling of 137824064 in words is "one hundred thirty-seven million, eight hundred twenty-four thousand, sixty-four".