1157372736 has 112 divisors (see below), whose sum is σ = 3331147008. Its totient is φ = 352512000.

The previous prime is 1157372701. The next prime is 1157372747. The reversal of 1157372736 is 6372737511.

It is a super-2 number, since 2×1157372736² = 2679023300072251392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249801 + ... + 254391.

It is an arithmetic number, because the mean of its divisors is an integer number (29742384).

Almost surely, 2^1157372736 is an apocalyptic number.

1157372736 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 1157372736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665573504).

1157372736 is an abundant number, since it is smaller than the sum of its proper divisors (2173774272).

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

1157372736 is a wasteful number, since it uses less digits than its factorization.

1157372736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4710 counting only the distinct ones).

The product of its digits is 185220, while the sum is 42.

The square root of 1157372736 is about 34020.1813046315. The cubic root of 1157372736 is about 1049.9237241644.

The spelling of 1157372736 in words is "one billion, one hundred fifty-seven million, three hundred seventy-two thousand, seven hundred thirty-six".