146812680 has 384 divisors, whose sum is σ = 606528000. Its totient is φ = 30007296.

The previous prime is 146812669. The next prime is 146812739. The reversal of 146812680 is 86218641.

146812680 is a nontrivial binomial coefficient, being equal to C(17136, 2).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 985246 + ... + 985394.

It is an arithmetic number, because the mean of its divisors is an integer number (1579500).

Almost surely, 2^146812680 is an apocalyptic number.

146812680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146812680 is the 17135-th triangular number and also the 8568-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146812680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303264000).

146812680 is an abundant number, since it is smaller than the sum of its proper divisors (459715320).

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

146812680 is a wasteful number, since it uses less digits than its factorization.

146812680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 146812680 is about 12116.6282438639. The cubic root of 146812680 is about 527.5389397967.

The spelling of 146812680 in words is "one hundred forty-six million, eight hundred twelve thousand, six hundred eighty".