138087264 has 48 divisors (see below), whose sum is σ = 414263808. Its totient is φ = 39453312.

The previous prime is 138087251. The next prime is 138087283. The reversal of 138087264 is 462780831.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 102072 + ... + 103415.

It is an arithmetic number, because the mean of its divisors is an integer number (8630496).

Almost surely, 2^138087264 is an apocalyptic number.

138087264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138087264 is an abundant number, since it is smaller than the sum of its proper divisors (276176544).

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

138087264 is a wasteful number, since it uses less digits than its factorization.

138087264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205507 (or 205499 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 138087264 is about 11751.0537399843. The cubic root of 138087264 is about 516.8738273439.

The spelling of 138087264 in words is "one hundred thirty-eight million, eighty-seven thousand, two hundred sixty-four".