138507264 has 264 divisors, whose sum is σ = 485384640. Its totient is φ = 37158912.

The previous prime is 138507263. The next prime is 138507269. The reversal of 138507264 is 462705831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138507263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225672 + ... + 1225784.

Almost surely, 2^138507264 is an apocalyptic number.

138507264 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 138507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242692320).

138507264 is an abundant number, since it is smaller than the sum of its proper divisors (346877376).

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

138507264 is a wasteful number, since it uses less digits than its factorization.

138507264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 138507264 is about 11768.9109096806. The cubic root of 138507264 is about 517.3973303288.

The spelling of 138507264 in words is "one hundred thirty-eight million, five hundred seven thousand, two hundred sixty-four".