146807352 has 48 divisors (see below), whose sum is σ = 400491000. Its totient is φ = 48580416.

The previous prime is 146807341. The next prime is 146807363. The reversal of 146807352 is 253708641.

It is an interprime number because it is at equal distance from previous prime (146807341) and next prime (146807363).

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 11 ways as a sum of consecutive naturals, for example, 2674 + ... + 17342.

Almost surely, 2^146807352 is an apocalyptic number.

146807352 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 146807352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200245500).

146807352 is an abundant number, since it is smaller than the sum of its proper divisors (253683648).

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

146807352 is a wasteful number, since it uses less digits than its factorization.

146807352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14820 (or 14813 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 146807352 is about 12116.4083787235. The cubic root of 146807352 is about 527.5325580557.

The spelling of 146807352 in words is "one hundred forty-six million, eight hundred seven thousand, three hundred fifty-two".