145940188800 has 1536 divisors, whose sum is σ = 611960832000. Its totient is φ = 30466867200.

The previous prime is 145940188783. The next prime is 145940188819. The reversal of 145940188800 is 8881049541.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145940188800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3105110377 + ... + 3105110423.

It is an arithmetic number, because the mean of its divisors is an integer number (398412000).

Almost surely, 2^145940188800 is an apocalyptic number.

145940188800 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 145940188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305980416000).

145940188800 is an abundant number, since it is smaller than the sum of its proper divisors (466020643200).

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

145940188800 is a wasteful number, since it uses less digits than its factorization.

145940188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 145940188800 in words is "one hundred forty-five billion, nine hundred forty million, one hundred eighty-eight thousand, eight hundred".