147138600577536 has 560 divisors, whose sum is σ = 456157453438368. Its totient is φ = 47355765350400.

The previous prime is 147138600577531. The next prime is 147138600577537. The reversal of 147138600577536 is 635775006831741.

147138600577536 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 3 + 8 + 6 + 0 + 0 + 577 + 53 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (147138600577531) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1809092391 + ... + 1809173721.

Almost surely, 2^{147138600577536} is an apocalyptic number.

147138600577536 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 147138600577536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228078726719184).

147138600577536 is an abundant number, since it is smaller than the sum of its proper divisors (309018852860832).

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

147138600577536 is an frugal number, since it uses more digits than its factorization.

147138600577536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81535 (or 81504 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 147138600577536 in words is "one hundred forty-seven trillion, one hundred thirty-eight billion, six hundred million, five hundred seventy-seven thousand, five hundred thirty-six".