147973920 has 192 divisors, whose sum is σ = 488726784. Its totient is φ = 37601280.

The previous prime is 147973901. The next prime is 147973951. The reversal of 147973920 is 29379741.

147973920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436589 + ... + 1436691.

It is an arithmetic number, because the mean of its divisors is an integer number (2545452).

Almost surely, 2^147973920 is an apocalyptic number.

147973920 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 147973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244363392).

147973920 is an abundant number, since it is smaller than the sum of its proper divisors (340752864).

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

147973920 is a wasteful number, since it uses less digits than its factorization.

147973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 147973920 is about 12164.4531319743. The cubic root of 147973920 is about 528.9261751627.

The spelling of 147973920 in words is "one hundred forty-seven million, nine hundred seventy-three thousand, nine hundred twenty".