146978100 has 54 divisors (see below), whose sum is σ = 460697510. Its totient is φ = 39193920.

The previous prime is 146978093. The next prime is 146978113. The reversal of 146978100 is 1879641.

It can be written as a sum of positive squares in 3 ways, for example, as 42693156 + 104284944 = 6534^2 + 10212^2 .

It is a super-2 number, since 2×146978100² = 43205123759220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 80755 + ... + 82554.

Almost surely, 2^146978100 is an apocalyptic number.

146978100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146978100 is an abundant number, since it is smaller than the sum of its proper divisors (313719410).

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

146978100 is a wasteful number, since it uses less digits than its factorization.

146978100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163329 (or 163319 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 146978100 is about 12123.4524785640. The cubic root of 146978100 is about 527.7369988396.

The spelling of 146978100 in words is "one hundred forty-six million, nine hundred seventy-eight thousand, one hundred".