145472202975744 has 640 divisors, whose sum is σ = 451265162895360. Its totient is φ = 46232266752000.

The previous prime is 145472202975709. The next prime is 145472202975791. The reversal of 145472202975744 is 447579202274541.

145472202975744 is a `hidden beast` number, since 1 + 4 + 5 + 472 + 2 + 0 + 2 + 97 + 5 + 74 + 4 = 666.

It is a super-2 number, since 2×145472202975744² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4262654809 + ... + 4262688935.

It is an arithmetic number, because the mean of its divisors is an integer number (705101817024).

Almost surely, 2^{145472202975744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145472202975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225632581447680).

145472202975744 is an abundant number, since it is smaller than the sum of its proper divisors (305792959919616).

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

145472202975744 is a wasteful number, since it uses less digits than its factorization.

145472202975744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34369 (or 34347 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 63.

The spelling of 145472202975744 in words is "one hundred forty-five trillion, four hundred seventy-two billion, two hundred two million, nine hundred seventy-five thousand, seven hundred forty-four".