146814720 has 288 divisors, whose sum is σ = 537751872. Its totient is φ = 33816576.

The previous prime is 146814683. The next prime is 146814721. The reversal of 146814720 is 27418641.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146814721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848554 + ... + 848726.

It is an arithmetic number, because the mean of its divisors is an integer number (1867194).

Almost surely, 2^146814720 is an apocalyptic number.

146814720 is a gapful number since it is divisible by the number (10) 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 146814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268875936).

146814720 is an abundant number, since it is smaller than the sum of its proper divisors (390937152).

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

146814720 is a wasteful number, since it uses less digits than its factorization.

146814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 146814720 is about 12116.7124254065. The cubic root of 146814720 is about 527.5413832152.

The spelling of 146814720 in words is "one hundred forty-six million, eight hundred fourteen thousand, seven hundred twenty".