113191760 has 80 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 40926720.

The previous prime is 113191733. The next prime is 113191787. The reversal of 113191760 is 67191311.

113191760 = T₁ + T₂ + ... + T₈₇₈.

113191760 is a nontrivial binomial coefficient, being equal to C(880, 3).

It is an interprime number because it is at equal distance from previous prime (113191733) and next prime (113191787).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is the 878-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257621 + ... + 258059.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2^113191760 is an apocalyptic number.

113191760 is a gapful number since it is divisible by the number (10) 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 113191760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

113191760 is an abundant number, since it is smaller than the sum of its proper divisors (175539760).

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

113191760 is a wasteful number, since it uses less digits than its factorization.

113191760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 113191760 is about 10639.1616211053. The cubic root of 113191760 is about 483.7321332708.

The spelling of 113191760 in words is "one hundred thirteen million, one hundred ninety-one thousand, seven hundred sixty".