147791952 has 200 divisors, whose sum is σ = 533662272. Its totient is φ = 38361600.

The previous prime is 147791933. The next prime is 147791981. The reversal of 147791952 is 259197741.

147791952 is a `hidden beast` number, since 1 + 477 + 91 + 95 + 2 = 666.

It is a super-2 number, since 2×147791952² = 43684922151940608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147791898 and 147791907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99052 + ... + 100532.

Almost surely, 2^147791952 is an apocalyptic number.

147791952 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 147791952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266831136).

147791952 is an abundant number, since it is smaller than the sum of its proper divisors (385870320).

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

147791952 is a wasteful number, since it uses less digits than its factorization.

147791952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1504 counting only the distinct ones).

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

The square root of 147791952 is about 12156.9713333544. The cubic root of 147791952 is about 528.7092740626.

The spelling of 147791952 in words is "one hundred forty-seven million, seven hundred ninety-one thousand, nine hundred fifty-two".