146965195238400 has 2640 divisors, whose sum is σ = 684173855642112. Its totient is φ = 30534207897600.

The previous prime is 146965195238359. The next prime is 146965195238401. The reversal of 146965195238400 is 4832591569641.

146965195238400 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 6 + 5 + 195 + 2 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×146965195238400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (146965195238401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19319727397 + ... + 19319735003.

Almost surely, 2^{146965195238400} is an apocalyptic number.

146965195238400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146965195238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342086927821056).

146965195238400 is an abundant number, since it is smaller than the sum of its proper divisors (537208660403712).

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

146965195238400 is an equidigital number, since it uses as much as digits as its factorization.

146965195238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 146965195238400 in words is "one hundred forty-six trillion, nine hundred sixty-five billion, one hundred ninety-five million, two hundred thirty-eight thousand, four hundred".