113897952 has 144 divisors (see below), whose sum is σ = 378050400. Its totient is φ = 32514048.

The previous prime is 113897947. The next prime is 113897983. The reversal of 113897952 is 259798311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113897898 and 113897907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98208 + ... + 99360.

It is an arithmetic number, because the mean of its divisors is an integer number (2625350).

Almost surely, 2^113897952 is an apocalyptic number.

113897952 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 113897952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189025200).

113897952 is an abundant number, since it is smaller than the sum of its proper divisors (264152448).

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

113897952 is a wasteful number, since it uses less digits than its factorization.

113897952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1165 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 113897952 is about 10672.2983466543. The cubic root of 113897952 is about 484.7360337785.

The spelling of 113897952 in words is "one hundred thirteen million, eight hundred ninety-seven thousand, nine hundred fifty-two".