146875680 has 240 divisors, whose sum is σ = 592764480. Its totient is φ = 33550848.

The previous prime is 146875679. The next prime is 146875693. The reversal of 146875680 is 86578641.

It is a happy number.

146875680 is a `hidden beast` number, since 1 + 4 + 6 + 87 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89911 + ... + 91529.

It is an arithmetic number, because the mean of its divisors is an integer number (2469852).

Almost surely, 2^146875680 is an apocalyptic number.

146875680 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 146875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296382240).

146875680 is an abundant number, since it is smaller than the sum of its proper divisors (445888800).

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

146875680 is a wasteful number, since it uses less digits than its factorization.

146875680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 146875680 is about 12119.2276981662. The cubic root of 146875680 is about 527.6143878675.

It can be divided in two parts, 146 and 875680, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 146875680 in words is "one hundred forty-six million, eight hundred seventy-five thousand, six hundred eighty".