146497953600 has 126 divisors (see below), whose sum is σ = 520688368070. Its totient is φ = 39066117120.

The previous prime is 146497953599. The next prime is 146497953601. The reversal of 146497953600 is 6359794641.

146497953600 is a `hidden beast` number, since 1 + 4 + 6 + 497 + 95 + 3 + 60 + 0 = 666.

146497953600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146497953599) and next prime (146497953601).

It can be written as a sum of positive squares in 3 ways, for example, as 10443204864 + 136054748736 = 102192^2 + 368856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146497953601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5072335 + ... + 5101134.

Almost surely, 2^146497953600 is an apocalyptic number.

146497953600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146497953600 is an abundant number, since it is smaller than the sum of its proper divisors (374190414470).

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

146497953600 is a wasteful number, since it uses less digits than its factorization.

146497953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10173497 (or 10173479 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 146497953600 in words is "one hundred forty-six billion, four hundred ninety-seven million, nine hundred fifty-three thousand, six hundred".