145876643640 has 576 divisors, whose sum is σ = 595465940160. Its totient is φ = 30698680320.

The previous prime is 145876643623. The next prime is 145876643819. The reversal of 145876643640 is 46346678541.

145876643640 is a `hidden beast` number, since 1 + 458 + 76 + 64 + 3 + 64 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141489925 + ... + 141490955.

It is an arithmetic number, because the mean of its divisors is an integer number (1033795035).

Almost surely, 2^145876643640 is an apocalyptic number.

145876643640 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 145876643640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297732970080).

145876643640 is an abundant number, since it is smaller than the sum of its proper divisors (449589296520).

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

145876643640 is a wasteful number, since it uses less digits than its factorization.

145876643640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 145876643640 in words is "one hundred forty-five billion, eight hundred seventy-six million, six hundred forty-three thousand, six hundred forty".