138539520 has 240 divisors, whose sum is σ = 548982720. Its totient is φ = 31629312.

The previous prime is 138539519. The next prime is 138539521. The reversal of 138539520 is 25935831.

It is an interprime number because it is at equal distance from previous prime (138539519) and next prime (138539521).

It is a tau number, because it is divible by the number of its divisors (240).

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 (138539521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160851 + ... + 161709.

It is an arithmetic number, because the mean of its divisors is an integer number (2287428).

Almost surely, 2^138539520 is an apocalyptic number.

138539520 is a gapful number since it is divisible by the number (10) 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 138539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274491360).

138539520 is an abundant number, since it is smaller than the sum of its proper divisors (410443200).

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

138539520 is an equidigital number, since it uses as much as digits as its factorization.

138539520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 138539520 is about 11770.2812200899. The cubic root of 138539520 is about 517.4374915748.

The spelling of 138539520 in words is "one hundred thirty-eight million, five hundred thirty-nine thousand, five hundred twenty".