138787463232 has 784 divisors, whose sum is σ = 486660261120. Its totient is φ = 38799129600.

The previous prime is 138787463219. The next prime is 138787463263. The reversal of 138787463232 is 232364787831.

138787463232 is a `hidden beast` number, since 1 + 3 + 87 + 87 + 463 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 419297307 + ... + 419297637.

Almost surely, 2^138787463232 is an apocalyptic number.

138787463232 is a gapful number since it is divisible by the number (12) 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 138787463232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243330130560).

138787463232 is an abundant number, since it is smaller than the sum of its proper divisors (347872797888).

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

138787463232 is a wasteful number, since it uses less digits than its factorization.

138787463232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 138787463232 in words is "one hundred thirty-eight billion, seven hundred eighty-seven million, four hundred sixty-three thousand, two hundred thirty-two".