147917952 has 384 divisors, whose sum is σ = 561375360. Its totient is φ = 36274176.

The previous prime is 147917947. The next prime is 147918007. The reversal of 147917952 is 259719741.

147917952 is a `hidden beast` number, since 1 + 479 + 179 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (158760) is a multiple of the sum of its prime factors (140).

It is a junction number, because it is equal to n+sod(n) for n = 147917898 and 147917907.

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, 1782103 + ... + 1782185.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 2^147917952 is an apocalyptic number.

147917952 is a gapful number since it is divisible by the number (12) 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 147917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280687680).

147917952 is an abundant number, since it is smaller than the sum of its proper divisors (413457408).

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

147917952 is a wasteful number, since it uses less digits than its factorization.

147917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 147917952 is about 12162.1524410772. The cubic root of 147917952 is about 528.8594817138.

The spelling of 147917952 in words is "one hundred forty-seven million, nine hundred seventeen thousand, nine hundred fifty-two".