145193739264 has 396 divisors, whose sum is σ = 516406785804. Its totient is φ = 39041630208.

The previous prime is 145193739263. The next prime is 145193739283. The reversal of 145193739264 is 462937391541.

145193739264 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 9 + 373 + 9 + 264 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129738276864 + 15455462400 = 360192^2 + 124320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145193739264.

It is not an unprimeable number, because it can be changed into a prime (145193739263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7667472 + ... + 7686384.

Almost surely, 2^145193739264 is an apocalyptic number.

145193739264 is a gapful number since it is divisible by the number (14) 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 145193739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258203392902).

145193739264 is an abundant number, since it is smaller than the sum of its proper divisors (371213046540).

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

145193739264 is a wasteful number, since it uses less digits than its factorization.

145193739264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18970 (or 18942 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 145193739264 in words is "one hundred forty-five billion, one hundred ninety-three million, seven hundred thirty-nine thousand, two hundred sixty-four".