138752460 has 384 divisors, whose sum is σ = 557383680. Its totient is φ = 27820800.

The previous prime is 138752417. The next prime is 138752489. The reversal of 138752460 is 64257831.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1954225 + ... + 1954295.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^138752460 is an apocalyptic number.

138752460 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 138752460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

138752460 is an abundant number, since it is smaller than the sum of its proper divisors (418631220).

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

138752460 is a wasteful number, since it uses less digits than its factorization.

138752460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

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

The square root of 138752460 is about 11779.3234101115. The cubic root of 138752460 is about 517.7024622630.

The spelling of 138752460 in words is "one hundred thirty-eight million, seven hundred fifty-two thousand, four hundred sixty".