136400112 has 200 divisors, whose sum is σ = 431034912. Its totient is φ = 41472000.

The previous prime is 136400083. The next prime is 136400149. The reversal of 136400112 is 211004631.

It is a happy number.

136400112 is a `hidden beast` number, since 13 + 640 + 0 + 1 + 12 = 666.

It is a super-2 number, since 2×136400112² = 37209981107225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 903237 + ... + 903387.

Almost surely, 2^136400112 is an apocalyptic number.

136400112 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 136400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215517456).

136400112 is an abundant number, since it is smaller than the sum of its proper divisors (294634800).

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

136400112 is a wasteful number, since it uses less digits than its factorization.

136400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 136400112 is about 11679.0458514384. The cubic root of 136400112 is about 514.7601384038.

Adding to 136400112 its reverse (211004631), we get a palindrome (347404743).

The spelling of 136400112 in words is "one hundred thirty-six million, four hundred thousand, one hundred twelve".