145232347392 has 648 divisors, whose sum is σ = 484446886560. Its totient is φ = 41483059200.

The previous prime is 145232347339. The next prime is 145232347397. The reversal of 145232347392 is 293743232541.

145232347392 is a `hidden beast` number, since 1 + 4 + 5 + 23 + 234 + 7 + 392 = 666.

It is not an unprimeable number, because it can be changed into a prime (145232347397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1631824084 + ... + 1631824172.

It is an arithmetic number, because the mean of its divisors is an integer number (747603220).

Almost surely, 2^145232347392 is an apocalyptic number.

145232347392 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 145232347392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242223443280).

145232347392 is an abundant number, since it is smaller than the sum of its proper divisors (339214539168).

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

145232347392 is a wasteful number, since it uses less digits than its factorization.

145232347392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 203 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 145232347392 in words is "one hundred forty-five billion, two hundred thirty-two million, three hundred forty-seven thousand, three hundred ninety-two".