146521892900 has 18 divisors (see below), whose sum is σ = 317952507810. Its totient is φ = 58608757120.

The previous prime is 146521892873. The next prime is 146521892917. The reversal of 146521892900 is 9298125641.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2753520676 + 143768372224 = 52474^2 + 379168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 732609365 + ... + 732609564.

Almost surely, 2^146521892900 is an apocalyptic number.

146521892900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146521892900 is an abundant number, since it is smaller than the sum of its proper divisors (171430614910).

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

146521892900 is a wasteful number, since it uses less digits than its factorization.

146521892900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465218943 (or 1465218936 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 146521892900 in words is "one hundred forty-six billion, five hundred twenty-one million, eight hundred ninety-two thousand, nine hundred".