145820532960 has 384 divisors, whose sum is σ = 545016729600. Its totient is φ = 36332513280.

The previous prime is 145820532937. The next prime is 145820532997. The reversal of 145820532960 is 69235028541.

145820532960 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 20 + 532 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3864907 + ... + 3902453.

It is an arithmetic number, because the mean of its divisors is an integer number (1419314400).

Almost surely, 2^145820532960 is an apocalyptic number.

145820532960 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 145820532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272508364800).

145820532960 is an abundant number, since it is smaller than the sum of its proper divisors (399196196640).

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

145820532960 is a wasteful number, since it uses less digits than its factorization.

145820532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37631 (or 37617 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 145820532960 in words is "one hundred forty-five billion, eight hundred twenty million, five hundred thirty-two thousand, nine hundred sixty".