145990084833792 has 240 divisors, whose sum is σ = 422787372733440. Its totient is φ = 48496090177536.

The previous prime is 145990084833787. The next prime is 145990084833821. The reversal of 145990084833792 is 297338480099541.

145990084833792 is a `hidden beast` number, since 1 + 4 + 59 + 9 + 0 + 0 + 8 + 483 + 3 + 7 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145990084833792.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2168984203 + ... + 2169051509.

It is an arithmetic number, because the mean of its divisors is an integer number (1761614053056).

Almost surely, 2^{145990084833792} is an apocalyptic number.

145990084833792 is a gapful number since it is divisible by the number (12) 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 145990084833792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211393686366720).

145990084833792 is an abundant number, since it is smaller than the sum of its proper divisors (276797287899648).

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

145990084833792 is a wasteful number, since it uses less digits than its factorization.

145990084833792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68943 (or 68924 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 145990084833792 in words is "one hundred forty-five trillion, nine hundred ninety billion, eighty-four million, eight hundred thirty-three thousand, seven hundred ninety-two".