145810578240 has 672 divisors, whose sum is σ = 557905920000. Its totient is φ = 34801643520.

The previous prime is 145810578227. The next prime is 145810578253. The reversal of 145810578240 is 42875018541.

145810578240 is a `hidden beast` number, since 1 + 4 + 58 + 1 + 0 + 578 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145810578227) and next prime (145810578253).

It is a super-2 number, since 2×145810578240² (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 a congruent number.

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, 72940761 + ... + 72942759.

Almost surely, 2^145810578240 is an apocalyptic number.

145810578240 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 145810578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278952960000).

145810578240 is an abundant number, since it is smaller than the sum of its proper divisors (412095341760).

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

145810578240 is a wasteful number, since it uses less digits than its factorization.

145810578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 145810578240 in words is "one hundred forty-five billion, eight hundred ten million, five hundred seventy-eight thousand, two hundred forty".