146452680 has 192 divisors, whose sum is σ = 536440320. Its totient is φ = 34329600.

The previous prime is 146452679. The next prime is 146452681. The reversal of 146452680 is 86254641.

146452680 is a `hidden beast` number, since 1 + 4 + 645 + 2 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146452679) and next prime (146452681).

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

It is not an unprimeable number, because it can be changed into a prime (146452681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122164 + ... + 123356.

It is an arithmetic number, because the mean of its divisors is an integer number (2793960).

Almost surely, 2^146452680 is an apocalyptic number.

146452680 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 146452680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268220160).

146452680 is an abundant number, since it is smaller than the sum of its proper divisors (389987640).

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

146452680 is a wasteful number, since it uses less digits than its factorization.

146452680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 146452680 is about 12101.7635078529. The cubic root of 146452680 is about 527.1073933757.

The spelling of 146452680 in words is "one hundred forty-six million, four hundred fifty-two thousand, six hundred eighty".