145365096096 has 240 divisors, whose sum is σ = 468321261408. Its totient is φ = 44047929600.

The previous prime is 145365096043. The next prime is 145365096161. The reversal of 145365096096 is 690690563541.

145365096096 is a `hidden beast` number, since 1 + 45 + 3 + 6 + 509 + 6 + 0 + 96 = 666.

It is a super-2 number, since 2×145365096096² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 6917926 + ... + 6938906.

Almost surely, 2^145365096096 is an apocalyptic number.

145365096096 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 145365096096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234160630704).

145365096096 is an abundant number, since it is smaller than the sum of its proper divisors (322956165312).

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

145365096096 is an frugal number, since it uses more digits than its factorization.

145365096096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21029 (or 20997 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 145365096096 in words is "one hundred forty-five billion, three hundred sixty-five million, ninety-six thousand, ninety-six".