138510976 has 64 divisors (see below), whose sum is σ = 289647360. Its totient is φ = 65894400.

The previous prime is 138510971. The next prime is 138510979. The reversal of 138510976 is 679015831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138510971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265596 + ... + 266116.

It is an arithmetic number, because the mean of its divisors is an integer number (4525740).

Almost surely, 2^138510976 is an apocalyptic number.

138510976 is a gapful number since it is divisible by the number (16) 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 138510976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144823680).

138510976 is an abundant number, since it is smaller than the sum of its proper divisors (151136384).

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

138510976 is an equidigital number, since it uses as much as digits as its factorization.

138510976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 138510976 is about 11769.0686122565. The cubic root of 138510976 is about 517.4019523769.

The spelling of 138510976 in words is "one hundred thirty-eight million, five hundred ten thousand, nine hundred seventy-six".