147505200960 has 672 divisors, whose sum is σ = 531322727040. Its totient is φ = 34610774016.

The previous prime is 147505200937. The next prime is 147505200967. The reversal of 147505200960 is 69002505741.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147505200967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503430574 + ... + 503430866.

It is an arithmetic number, because the mean of its divisors is an integer number (790658820).

Almost surely, 2^147505200960 is an apocalyptic number.

147505200960 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 147505200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265661363520).

147505200960 is an abundant number, since it is smaller than the sum of its proper divisors (383817526080).

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

147505200960 is a wasteful number, since it uses less digits than its factorization.

147505200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 147505200960 in words is "one hundred forty-seven billion, five hundred five million, two hundred thousand, nine hundred sixty".