145791195732 has 768 divisors, whose sum is σ = 510430412800. Its totient is φ = 34919216640.

The previous prime is 145791195731. The next prime is 145791195833. The reversal of 145791195732 is 237591197541.

145791195732 is a `hidden beast` number, since 1 + 4 + 57 + 9 + 1 + 19 + 573 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145791195731) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 537974757 + ... + 537975027.

Almost surely, 2^145791195732 is an apocalyptic number.

145791195732 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 145791195732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255215206400).

145791195732 is an abundant number, since it is smaller than the sum of its proper divisors (364639217068).

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

145791195732 is a wasteful number, since it uses less digits than its factorization.

145791195732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 54.

The spelling of 145791195732 in words is "one hundred forty-five billion, seven hundred ninety-one million, one hundred ninety-five thousand, seven hundred thirty-two".