145683801889920 has 4608 divisors, whose sum is σ = 655661490831360. Its totient is φ = 29613794918400.

The previous prime is 145683801889919. The next prime is 145683801889949. The reversal of 145683801889920 is 29988108386541.

145683801889920 is a `hidden beast` number, since 1 + 4 + 5 + 68 + 380 + 1 + 88 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 690444558615 + ... + 690444558825.

It is an arithmetic number, because the mean of its divisors is an integer number (142287649920).

Almost surely, 2^{145683801889920} is an apocalyptic number.

145683801889920 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 145683801889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327830745415680).

145683801889920 is an abundant number, since it is smaller than the sum of its proper divisors (509977688941440).

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

145683801889920 is a wasteful number, since it uses less digits than its factorization.

145683801889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 145683801889920 in words is "one hundred forty-five trillion, six hundred eighty-three billion, eight hundred one million, eight hundred eighty-nine thousand, nine hundred twenty".