146895892900 has 27 divisors (see below), whose sum is σ = 318772404769. Its totient is φ = 58756824080.

The previous prime is 146895892867. The next prime is 146895892903. The reversal of 146895892900 is 9298598641.

The square root of 146895892900 is 383270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52882521444 + 94013371456 = 229962^2 + 306616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146895892903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3813537 + ... + 3851863.

Almost surely, 2^146895892900 is an apocalyptic number.

146895892900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146895892900 is the 383270-th square number.

It is an amenable number.

146895892900 is an abundant number, since it is smaller than the sum of its proper divisors (171876511869).

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

146895892900 is an frugal number, since it uses more digits than its factorization.

146895892900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76668 (or 38334 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 61.

The spelling of 146895892900 in words is "one hundred forty-six billion, eight hundred ninety-five million, eight hundred ninety-two thousand, nine hundred".