147153920 has 88 divisors (see below), whose sum is σ = 362122488. Its totient is φ = 57344000.

The previous prime is 147153893. The next prime is 147153943. The reversal of 147153920 is 29351741.

It can be written as a sum of positive squares in 4 ways, for example, as 8479744 + 138674176 = 2912^2 + 11776^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209570 + ... + 210270.

Almost surely, 2^147153920 is an apocalyptic number.

147153920 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 147153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181061244).

147153920 is an abundant number, since it is smaller than the sum of its proper divisors (214968568).

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

147153920 is an equidigital number, since it uses as much as digits as its factorization.

147153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 147153920 is about 12130.7015460772. The cubic root of 147153920 is about 527.9473470605.

The spelling of 147153920 in words is "one hundred forty-seven million, one hundred fifty-three thousand, nine hundred twenty".