113537749 has 18 divisors (see below), whose sum is σ = 129824226. Its totient is φ = 99234720.

The previous prime is 113537707. The next prime is 113537777. The reversal of 113537749 is 947735311.

It can be written as a sum of positive squares in 3 ways, for example, as 15171025 + 98366724 = 3895^2 + 9918^2 .

It is a de Polignac number, because none of the positive numbers 2^k-113537749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113535749) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60079 + ... + 61939.

It is an arithmetic number, because the mean of its divisors is an integer number (7212457).

Almost surely, 2^113537749 is an apocalyptic number.

113537749 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

113537749 is a deficient number, since it is larger than the sum of its proper divisors (16286477).

113537749 is a wasteful number, since it uses less digits than its factorization.

113537749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1893 counting only the distinct ones).

The product of its digits is 79380, while the sum is 40.

The square root of 113537749 is about 10655.4093774008. The cubic root of 113537749 is about 484.2245005566.

The spelling of 113537749 in words is "one hundred thirteen million, five hundred thirty-seven thousand, seven hundred forty-nine".