1256146164 has 432 divisors, whose sum is σ = 4437518400. Its totient is φ = 303730560.

The previous prime is 1256146159. The next prime is 1256146181. The reversal of 1256146164 is 4616416521.

1256146164 is a `hidden beast` number, since 1 + 25 + 6 + 14 + 616 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 40520829 + ... + 40520859.

Almost surely, 2^1256146164 is an apocalyptic number.

1256146164 is a gapful number since it is divisible by the number (14) 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 1256146164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218759200).

1256146164 is an abundant number, since it is smaller than the sum of its proper divisors (3181372236).

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

1256146164 is a wasteful number, since it uses less digits than its factorization.

1256146164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 75 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1256146164 is about 35442.1523612774. The cubic root of 1256146164 is about 1078.9799937483.

The spelling of 1256146164 in words is "one billion, two hundred fifty-six million, one hundred forty-six thousand, one hundred sixty-four".