1157434272 has 144 divisors (see below), whose sum is σ = 3461814720. Its totient is φ = 380339712.

The previous prime is 1157434241. The next prime is 1157434279. The reversal of 1157434272 is 2724347511.

1157434272 is a `hidden beast` number, since 1 + 157 + 434 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (1157434279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566629 + ... + 568667.

It is an arithmetic number, because the mean of its divisors is an integer number (24040380).

Almost surely, 2^1157434272 is an apocalyptic number.

1157434272 is a gapful number since it is divisible by the number (12) 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 1157434272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730907360).

1157434272 is an abundant number, since it is smaller than the sum of its proper divisors (2304380448).

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

1157434272 is an equidigital number, since it uses as much as digits as its factorization.

1157434272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2117 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 1157434272 is about 34021.0856969615. The cubic root of 1157434272 is about 1049.9423315266.

The spelling of 1157434272 in words is "one billion, one hundred fifty-seven million, four hundred thirty-four thousand, two hundred seventy-two".