146954800 has 60 divisors (see below), whose sum is σ = 373844376. Its totient is φ = 55321600.

The previous prime is 146954789. The next prime is 146954807. The reversal of 146954800 is 8459641.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 146954800.

It is not an unprimeable number, because it can be changed into a prime (146954807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4006 + ... + 17605.

Almost surely, 2^146954800 is an apocalyptic number.

146954800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146954800 is an abundant number, since it is smaller than the sum of its proper divisors (226889576).

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

146954800 is a wasteful number, since it uses less digits than its factorization.

146954800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21646 (or 21635 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 146954800 is about 12122.4914930884. The cubic root of 146954800 is about 527.7091105082.

The spelling of 146954800 in words is "one hundred forty-six million, nine hundred fifty-four thousand, eight hundred".