146856842100 has 72 divisors (see below), whose sum is σ = 472117560320. Its totient is φ = 39161823840.

The previous prime is 146856842087. The next prime is 146856842113. The reversal of 146856842100 is 1248658641.

It is a happy number.

146856842100 is a `hidden beast` number, since 1 + 4 + 68 + 568 + 4 + 21 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146856842087) and next prime (146856842113).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27193012 + ... + 27198411.

Almost surely, 2^146856842100 is an apocalyptic number.

146856842100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146856842100 is an abundant number, since it is smaller than the sum of its proper divisors (325260718220).

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

146856842100 is a wasteful number, since it uses less digits than its factorization.

146856842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54391446 (or 54391433 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 146856842100 in words is "one hundred forty-six billion, eight hundred fifty-six million, eight hundred forty-two thousand, one hundred".