147164976 has 120 divisors (see below), whose sum is σ = 476636160. Its totient is φ = 41516928.

The previous prime is 147164959. The next prime is 147164977. The reversal of 147164976 is 679461741.

147164976 is a `hidden beast` number, since 147 + 16 + 497 + 6 = 666.

It is a super-2 number, since 2×147164976² = 43315060322161152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147164977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82785 + ... + 84543.

It is an arithmetic number, because the mean of its divisors is an integer number (3971968).

Almost surely, 2^147164976 is an apocalyptic number.

147164976 is a gapful number since it is divisible by the number (16) 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 147164976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238318080).

147164976 is an abundant number, since it is smaller than the sum of its proper divisors (329471184).

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

147164976 is a wasteful number, since it uses less digits than its factorization.

147164976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1854 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 147164976 is about 12131.1572407582. The cubic root of 147164976 is about 527.9605686807.

The spelling of 147164976 in words is "one hundred forty-seven million, one hundred sixty-four thousand, nine hundred seventy-six".