145861583040 has 504 divisors, whose sum is σ = 551419867440. Its totient is φ = 35340189696.

The previous prime is 145861583029. The next prime is 145861583053. The reversal of 145861583040 is 40385168541.

145861583040 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 61 + 583 + 0 + 4 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 24134259 + ... + 24140301.

Almost surely, 2^145861583040 is an apocalyptic number.

145861583040 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 145861583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275709933720).

145861583040 is an abundant number, since it is smaller than the sum of its proper divisors (405558284400).

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

145861583040 is a wasteful number, since it uses less digits than its factorization.

145861583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 145861583040 in words is "one hundred forty-five billion, eight hundred sixty-one million, five hundred eighty-three thousand, forty".