147960120 has 256 divisors, whose sum is σ = 564019200. Its totient is φ = 30159360.

The previous prime is 147960083. The next prime is 147960139. The reversal of 147960120 is 21069741.

It is a happy number.

It is a super-2 number, since 2×147960120² = 43784394220828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 618961 + ... + 619199.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2^147960120 is an apocalyptic number.

147960120 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 147960120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282009600).

147960120 is an abundant number, since it is smaller than the sum of its proper divisors (416059080).

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

147960120 is a wasteful number, since it uses less digits than its factorization.

147960120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 147960120 is about 12163.8858922632. The cubic root of 147960120 is about 528.9097321567.

The spelling of 147960120 in words is "one hundred forty-seven million, nine hundred sixty thousand, one hundred twenty".