138215924460 has 432 divisors, whose sum is σ = 464718814560. Its totient is φ = 33156034560.

The previous prime is 138215924419. The next prime is 138215924467. The reversal of 138215924460 is 64429512831.

138215924460 is a `hidden beast` number, since 1 + 38 + 2 + 159 + 2 + 4 + 460 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (138215924467) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 436012222 + ... + 436012538.

Almost surely, 2^138215924460 is an apocalyptic number.

138215924460 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 138215924460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232359407280).

138215924460 is an abundant number, since it is smaller than the sum of its proper divisors (326502890100).

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

138215924460 is a wasteful number, since it uses less digits than its factorization.

138215924460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 138215924460 in words is "one hundred thirty-eight billion, two hundred fifteen million, nine hundred twenty-four thousand, four hundred sixty".