136261200 has 120 divisors (see below), whose sum is σ = 455560128. Its totient is φ = 34749440.

The previous prime is 136261199. The next prime is 136261207. The reversal of 136261200 is 2162631.

136261200 = 2423² + 2424² + ... + 2445².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×136261200² = 37134229250880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136261207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25132 + ... + 30068.

Almost surely, 2^136261200 is an apocalyptic number.

136261200 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 136261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227780064).

136261200 is an abundant number, since it is smaller than the sum of its proper divisors (319298928).

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

136261200 is a wasteful number, since it uses less digits than its factorization.

136261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 136261200 is about 11673.0972753593. The cubic root of 136261200 is about 514.5853324659.

The spelling of 136261200 in words is "one hundred thirty-six million, two hundred sixty-one thousand, two hundred".