146200308477312 has 128 divisors (see below), whose sum is σ = 404303938126560. Its totient is φ = 46766777352192.

The previous prime is 146200308477283. The next prime is 146200308477319. The reversal of 146200308477312 is 213774803002641.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×146200308477312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146200308477319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69442263 + ... + 71516630.

Almost surely, 2^{146200308477312} is an apocalyptic number.

146200308477312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146200308477312 is an abundant number, since it is smaller than the sum of its proper divisors (258103629649248).

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

146200308477312 is a wasteful number, since it uses less digits than its factorization.

146200308477312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140959020 (or 140959008 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 146200308477312 in words is "one hundred forty-six trillion, two hundred billion, three hundred eight million, four hundred seventy-seven thousand, three hundred twelve".