145640159280 has 720 divisors, whose sum is σ = 622400163840. Its totient is φ = 29869931520.

The previous prime is 145640159267. The next prime is 145640159321. The reversal of 145640159280 is 82951046541.

145640159280 is a `hidden beast` number, since 1 + 4 + 56 + 4 + 0 + 1 + 592 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×145640159280² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48175849 + ... + 48178871.

It is an arithmetic number, because the mean of its divisors is an integer number (864444672).

Almost surely, 2^145640159280 is an apocalyptic number.

145640159280 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 145640159280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311200081920).

145640159280 is an abundant number, since it is smaller than the sum of its proper divisors (476760004560).

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

145640159280 is a wasteful number, since it uses less digits than its factorization.

145640159280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 145640159280 in words is "one hundred forty-five billion, six hundred forty million, one hundred fifty-nine thousand, two hundred eighty".