147121920 has 432 divisors, whose sum is σ = 589260672. Its totient is φ = 34836480.

The previous prime is 147121907. The next prime is 147121951. The reversal of 147121920 is 29121741.

147121920 is a `hidden beast` number, since 1 + 471 + 2 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3421419 + ... + 3421461.

Almost surely, 2^147121920 is an apocalyptic number.

147121920 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 147121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294630336).

147121920 is an abundant number, since it is smaller than the sum of its proper divisors (442138752).

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

147121920 is an equidigital number, since it uses as much as digits as its factorization.

147121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 147121920 is about 12129.3825069539. The cubic root of 147121920 is about 527.9090752522.

The spelling of 147121920 in words is "one hundred forty-seven million, one hundred twenty-one thousand, nine hundred twenty".