146531952 has 180 divisors, whose sum is σ = 502605480. Its totient is φ = 39626496.

The previous prime is 146531941. The next prime is 146531977. The reversal of 146531952 is 259135641.

146531952 is a `hidden beast` number, since 1 + 465 + 3 + 195 + 2 = 666.

It is a super-2 number, since 2×146531952² = 42943225913860608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133518 + ... + 134610.

Almost surely, 2^146531952 is an apocalyptic number.

146531952 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 146531952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251302740).

146531952 is an abundant number, since it is smaller than the sum of its proper divisors (356073528).

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

146531952 is a wasteful number, since it uses less digits than its factorization.

146531952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1124 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 146531952 is about 12105.0382899023. The cubic root of 146531952 is about 527.2024805635.

The spelling of 146531952 in words is "one hundred forty-six million, five hundred thirty-one thousand, nine hundred fifty-two".