146556252 has 72 divisors (see below), whose sum is σ = 396304272. Its totient is φ = 45504000.

The previous prime is 146556247. The next prime is 146556281. The reversal of 146556252 is 252655641.

146556252 is a `hidden beast` number, since 1 + 46 + 5 + 562 + 52 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60627 + ... + 62997.

It is an arithmetic number, because the mean of its divisors is an integer number (5504226).

Almost surely, 2^146556252 is an apocalyptic number.

146556252 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 146556252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198152136).

146556252 is an abundant number, since it is smaller than the sum of its proper divisors (249748020).

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

146556252 is a wasteful number, since it uses less digits than its factorization.

146556252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2494 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 146556252 is about 12106.0419625904. The cubic root of 146556252 is about 527.2316216757.

The spelling of 146556252 in words is "one hundred forty-six million, five hundred fifty-six thousand, two hundred fifty-two".