145327857840 has 360 divisors, whose sum is σ = 565598964528. Its totient is φ = 33158062080.

The previous prime is 145327857821. The next prime is 145327857887. The reversal of 145327857840 is 48758723541.

145327857840 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 27 + 8 + 578 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×145327857840² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2257134 + ... + 2320626.

Almost surely, 2^145327857840 is an apocalyptic number.

145327857840 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 145327857840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282799482264).

145327857840 is an abundant number, since it is smaller than the sum of its proper divisors (420271106688).

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

145327857840 is a wasteful number, since it uses less digits than its factorization.

145327857840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63557 (or 63531 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 145327857840 in words is "one hundred forty-five billion, three hundred twenty-seven million, eight hundred fifty-seven thousand, eight hundred forty".