138472442797248 has 252 divisors, whose sum is σ = 461723855697000. Its totient is φ = 39562134441984.

The previous prime is 138472442797189. The next prime is 138472442797279. The reversal of 138472442797248 is 842797244274831.

138472442797248 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 7 + 2 + 442 + 79 + 72 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 978540003 + ... + 978681501.

Almost surely, 2^{138472442797248} is an apocalyptic number.

138472442797248 is a gapful number since it is divisible by the number (18) 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 138472442797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230861927848500).

138472442797248 is an abundant number, since it is smaller than the sum of its proper divisors (323251412899752).

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

138472442797248 is a wasteful number, since it uses less digits than its factorization.

138472442797248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176204 (or 176184 counting only the distinct ones).

The product of its digits is 1213857792, while the sum is 72.

The spelling of 138472442797248 in words is "one hundred thirty-eight trillion, four hundred seventy-two billion, four hundred forty-two million, seven hundred ninety-seven thousand, two hundred forty-eight".