138510228960 has 96 divisors (see below), whose sum is σ = 484785816480. Its totient is φ = 36936059904.

The previous prime is 138510228949. The next prime is 138510228971. The reversal of 138510228960 is 69822015831.

138510228960 is a `hidden beast` number, since 1 + 38 + 510 + 22 + 89 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138510228949) and next prime (138510228971).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16026957 + ... + 16035596.

It is an arithmetic number, because the mean of its divisors is an integer number (5049852255).

Almost surely, 2^138510228960 is an apocalyptic number.

138510228960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138510228960 is an abundant number, since it is smaller than the sum of its proper divisors (346275587520).

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

138510228960 is a wasteful number, since it uses less digits than its factorization.

138510228960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32062577 (or 32062563 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 138510228960 in words is "one hundred thirty-eight billion, five hundred ten million, two hundred twenty-eight thousand, nine hundred sixty".