145131709320 has 384 divisors, whose sum is σ = 519107097600. Its totient is φ = 34946906112.

The previous prime is 145131709319. The next prime is 145131709339. The reversal of 145131709320 is 23907131541.

145131709320 is a `hidden beast` number, since 1 + 451 + 3 + 170 + 9 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61573582 + ... + 61575938.

It is an arithmetic number, because the mean of its divisors is an integer number (1351841400).

Almost surely, 2^145131709320 is an apocalyptic number.

145131709320 is a gapful number since it is divisible by the number (10) 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 145131709320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259553548800).

145131709320 is an abundant number, since it is smaller than the sum of its proper divisors (373975388280).

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

145131709320 is a wasteful number, since it uses less digits than its factorization.

145131709320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 145131709320 in words is "one hundred forty-five billion, one hundred thirty-one million, seven hundred nine thousand, three hundred twenty".