138245520 has 320 divisors, whose sum is σ = 531394560. Its totient is φ = 29030400.

The previous prime is 138245519. The next prime is 138245521. The reversal of 138245520 is 25542831.

It is an interprime number because it is at equal distance from previous prime (138245519) and next prime (138245521).

It is a super-2 number, since 2×138245520² = 38223647600140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (138245521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1947085 + ... + 1947155.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 2^138245520 is an apocalyptic number.

138245520 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 138245520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265697280).

138245520 is an abundant number, since it is smaller than the sum of its proper divisors (393149040).

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

138245520 is a wasteful number, since it uses less digits than its factorization.

138245520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 138245520 is about 11757.7855057830. The cubic root of 138245520 is about 517.0712077380.

The spelling of 138245520 in words is "one hundred thirty-eight million, two hundred forty-five thousand, five hundred twenty".