145914022800 has 540 divisors, whose sum is σ = 634353812820. Its totient is φ = 30785771520.

The previous prime is 145914022799. The next prime is 145914022817. The reversal of 145914022800 is 8220419541.

145914022800 is a `hidden beast` number, since 1 + 4 + 591 + 40 + 2 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21683151504 + 124230871296 = 147252^2 + 352464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2261386 + ... + 2325014.

It is an arithmetic number, because the mean of its divisors is an integer number (1174729283).

Almost surely, 2^145914022800 is an apocalyptic number.

145914022800 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 145914022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317176906410).

145914022800 is an abundant number, since it is smaller than the sum of its proper divisors (488439790020).

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

145914022800 is a wasteful number, since it uses less digits than its factorization.

145914022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63680 (or 63659 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 145914022800 in words is "one hundred forty-five billion, nine hundred fourteen million, twenty-two thousand, eight hundred".