145439908992 has 768 divisors, whose sum is σ = 528618182400. Its totient is φ = 39661332480.

The previous prime is 145439908961. The next prime is 145439908993. The reversal of 145439908992 is 299809934541.

145439908992 is a `hidden beast` number, since 1 + 4 + 543 + 9 + 9 + 0 + 89 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (145439908993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315487642 + ... + 315488102.

It is an arithmetic number, because the mean of its divisors is an integer number (688304925).

Almost surely, 2^145439908992 is an apocalyptic number.

145439908992 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 145439908992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264309091200).

145439908992 is an abundant number, since it is smaller than the sum of its proper divisors (383178273408).

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

145439908992 is an frugal number, since it uses more digits than its factorization.

145439908992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 145439908992 in words is "one hundred forty-five billion, four hundred thirty-nine million, nine hundred eight thousand, nine hundred ninety-two".