42136200 has 252 divisors, whose sum is σ = 156031215. Its totient is φ = 10575360.

The previous prime is 42136181. The next prime is 42136201. The reversal of 42136200 is 263124.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42136200 is a `hidden beast` number, since 42 + 1 + 3 + 620 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 27436644 + 14699556 = 5238^2 + 3834^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4590.

It is a super-3 number, since 3×42136200³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (42136201) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2478592 + ... + 2478608.

Almost surely, 2^42136200 is an apocalyptic number.

42136200 is a gapful number since it is divisible by the number (40) 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 42136200

42136200 is an abundant number, since it is smaller than the sum of its proper divisors (113895015).

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

42136200 is a wasteful number, since it uses less digits than its factorization.

42136200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42136200 is about 6491.2402512925. The cubic root of 42136200 is about 347.9780009875.

Multiplying 42136200 by its sum of digits (18), we get a square (758451600 = 27540²).

42136200 divided by its sum of digits (18) gives a square (2340900 = 1530²).

Multiplying 42136200 by its product of nonzero digits (288), we get a square (12135225600 = 110160²).

Adding to 42136200 its reverse (263124), we get a palindrome (42399324).

The spelling of 42136200 in words is "forty-two million, one hundred thirty-six thousand, two hundred".