138411504 has 400 divisors, whose sum is σ = 532942080. Its totient is φ = 33592320.

The previous prime is 138411491. The next prime is 138411517. The reversal of 138411504 is 405114831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138411491) and next prime (138411517).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1896012 + ... + 1896084.

Almost surely, 2^138411504 is an apocalyptic number.

138411504 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 138411504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266471040).

138411504 is an abundant number, since it is smaller than the sum of its proper divisors (394530576).

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

138411504 is a wasteful number, since it uses less digits than its factorization.

138411504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 138411504 is about 11764.8418603906. The cubic root of 138411504 is about 517.2780648849.

The spelling of 138411504 in words is "one hundred thirty-eight million, four hundred eleven thousand, five hundred four".