145796392272960 has 3780 divisors, whose sum is σ = 644919647728356. Its totient is φ = 31055726592000.

The previous prime is 145796392272959. The next prime is 145796392272961. The reversal of 145796392272960 is 69272293697541.

145796392272960 is a `hidden beast` number, since 1 + 4 + 57 + 9 + 63 + 9 + 227 + 296 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145796392272959) and next prime (145796392272961).

It can be written as a sum of positive squares in 6 ways, for example, as 85221552328704 + 60574839944256 = 9231552^2 + 7782984^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145796392272961) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 2390104791330 + ... + 2390104791390.

Almost surely, 2^{145796392272960} is an apocalyptic number.

145796392272960 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 145796392272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322459823864178).

145796392272960 is an abundant number, since it is smaller than the sum of its proper divisors (499123255455396).

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

145796392272960 is a wasteful number, since it uses less digits than its factorization.

145796392272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 145796392272960 in words is "one hundred forty-five trillion, seven hundred ninety-six billion, three hundred ninety-two million, two hundred seventy-two thousand, nine hundred sixty".