1157256144 has 60 divisors (see below), whose sum is σ = 3533142912. Its totient is φ = 350683200.

The previous prime is 1157256103. The next prime is 1157256169. The reversal of 1157256144 is 4416527511.

1157256144 is a `hidden beast` number, since 1 + 1 + 57 + 2 + 561 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1157256099 and 1157256108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363712 + ... + 366879.

Almost surely, 2^1157256144 is an apocalyptic number.

It is an amenable number.

1157256144 is an abundant number, since it is smaller than the sum of its proper divisors (2375886768).

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

1157256144 is a wasteful number, since it uses less digits than its factorization.

1157256144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730616 (or 730607 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 1157256144 is about 34018.4676903590. The cubic root of 1157256144 is about 1049.8884670648. Note that the first 3 decimals are identical.

The spelling of 1157256144 in words is "one billion, one hundred fifty-seven million, two hundred fifty-six thousand, one hundred forty-four".