147875090952960 has 1728 divisors, whose sum is σ = 643900382899200. Its totient is φ = 31953914560512.

The previous prime is 147875090952887. The next prime is 147875090952983. The reversal of 147875090952960 is 69259090578741.

147875090952960 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 7 + 5 + 0 + 90 + 9 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16184201512 + ... + 16184210648.

It is an arithmetic number, because the mean of its divisors is an integer number (372627536400).

Almost surely, 2^{147875090952960} is an apocalyptic number.

147875090952960 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 147875090952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321950191449600).

147875090952960 is an abundant number, since it is smaller than the sum of its proper divisors (496025291946240).

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

147875090952960 is a wasteful number, since it uses less digits than its factorization.

147875090952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 147875090952960 in words is "one hundred forty-seven trillion, eight hundred seventy-five billion, ninety million, nine hundred fifty-two thousand, nine hundred sixty".