147120792 has 256 divisors, whose sum is σ = 487710720. Its totient is φ = 35942400.

The previous prime is 147120731. The next prime is 147120793. The reversal of 147120792 is 297021741.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147120793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2775838 + ... + 2775890.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^147120792 is an apocalyptic number.

147120792 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 147120792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

147120792 is an abundant number, since it is smaller than the sum of its proper divisors (340589928).

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

147120792 is a wasteful number, since it uses less digits than its factorization.

147120792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 147120792 is about 12129.3360082075. The cubic root of 147120792 is about 527.9077260697.

The spelling of 147120792 in words is "one hundred forty-seven million, one hundred twenty thousand, seven hundred ninety-two".