145930307023296 has 1008 divisors, whose sum is σ = 462356764103520. Its totient is φ = 45120540672000.

The previous prime is 145930307023247. The next prime is 145930307023321. The reversal of 145930307023296 is 692320703039541.

145930307023296 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 3 + 0 + 307 + 0 + 2 + 329 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 170280404500 + ... + 170280405356.

Almost surely, 2^{145930307023296} is an apocalyptic number.

145930307023296 is a gapful number since it is divisible by the number (16) 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 145930307023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231178382051760).

145930307023296 is an abundant number, since it is smaller than the sum of its proper divisors (316426457080224).

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

145930307023296 is an equidigital number, since it uses as much as digits as its factorization.

145930307023296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 145930307023296 in words is "one hundred forty-five trillion, nine hundred thirty billion, three hundred seven million, twenty-three thousand, two hundred ninety-six".