145634054256 has 180 divisors, whose sum is σ = 431560529400. Its totient is φ = 45719396352.

The previous prime is 145634054233. The next prime is 145634054261. The reversal of 145634054256 is 652450436541.

145634054256 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 340 + 54 + 256 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101912550 + ... + 101913978.

Almost surely, 2^145634054256 is an apocalyptic number.

145634054256 is a gapful number since it is divisible by the number (16) 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 145634054256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215780264700).

145634054256 is an abundant number, since it is smaller than the sum of its proper divisors (285926475144).

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

145634054256 is a wasteful number, since it uses less digits than its factorization.

145634054256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 145634054256 in words is "one hundred forty-five billion, six hundred thirty-four million, fifty-four thousand, two hundred fifty-six".