147795120 has 120 divisors (see below), whose sum is σ = 541496592. Its totient is φ = 35827200.

The previous prime is 147795103. The next prime is 147795121. The reversal of 147795120 is 21597741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147795121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1411 + ... + 17250.

Almost surely, 2^147795120 is an apocalyptic number.

147795120 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 147795120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270748296).

147795120 is an abundant number, since it is smaller than the sum of its proper divisors (393701472).

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

147795120 is a wasteful number, since it uses less digits than its factorization.

147795120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18691 (or 18682 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 147795120 is about 12157.1016282665. The cubic root of 147795120 is about 528.7130517582.

The spelling of 147795120 in words is "one hundred forty-seven million, seven hundred ninety-five thousand, one hundred twenty".