113571600 has 240 divisors, whose sum is σ = 389689344. Its totient is φ = 28224000.

The previous prime is 113571593. The next prime is 113571617. The reversal of 113571600 is 6175311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 1599565 + ... + 1599635.

Almost surely, 2^113571600 is an apocalyptic number.

113571600 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 113571600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194844672).

113571600 is an abundant number, since it is smaller than the sum of its proper divisors (276117744).

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

113571600 is a wasteful number, since it uses less digits than its factorization.

113571600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 113571600 is about 10656.9977010413. The cubic root of 113571600 is about 484.2726192218.

The spelling of 113571600 in words is "one hundred thirteen million, five hundred seventy-one thousand, six hundred".