1256135364 has 135 divisors (see below), whose sum is σ = 3629727871. Its totient is φ = 378520560.

The previous prime is 1256135341. The next prime is 1256135369. The reversal of 1256135364 is 4635316521.

The square root of 1256135364 is 35442.

It is a perfect power (a square), and thus also a powerful number.

1256135364 is a `hidden beast` number, since 1 + 2 + 5 + 613 + 5 + 36 + 4 = 666.

1256135364 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1256135369) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7017427 + ... + 7017605.

Almost surely, 2^1256135364 is an apocalyptic number.

1256135364 is the 35442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1256135364

1256135364 is an abundant number, since it is smaller than the sum of its proper divisors (2373592507).

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

1256135364 is a wasteful number, since it uses less digits than its factorization.

1256135364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 195 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The cubic root of 1256135364 is about 1078.9769014814.

Multiplying 1256135364 by its sum of digits (36), we get a square (45220873104 = 212652²).

1256135364 divided by its sum of digits (36) gives a square (34892649 = 5907²).

The spelling of 1256135364 in words is "one billion, two hundred fifty-six million, one hundred thirty-five thousand, three hundred sixty-four".