138461520 has 80 divisors (see below), whose sum is σ = 430365312. Its totient is φ = 36825600.

The previous prime is 138461507. The next prime is 138461567. The reversal of 138461520 is 25164831.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 167829 + ... + 168651.

Almost surely, 2^138461520 is an apocalyptic number.

138461520 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 138461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215182656).

138461520 is an abundant number, since it is smaller than the sum of its proper divisors (291903792).

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

138461520 is a wasteful number, since it uses less digits than its factorization.

138461520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 138461520 is about 11766.9673238265. The cubic root of 138461520 is about 517.3403647738.

The spelling of 138461520 in words is "one hundred thirty-eight million, four hundred sixty-one thousand, five hundred twenty".