135739400 has 48 divisors (see below), whose sum is σ = 316737540. Its totient is φ = 54099200.

The previous prime is 135739393. The next prime is 135739403. The reversal of 135739400 is 4937531.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 50324836 + 85414564 = 7094^2 + 9242^2 .

It is not an unprimeable number, because it can be changed into a prime (135739403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62330 + ... + 64470.

Almost surely, 2^135739400 is an apocalyptic number.

135739400 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 135739400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158368770).

135739400 is an abundant number, since it is smaller than the sum of its proper divisors (180998140).

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

135739400 is a wasteful number, since it uses less digits than its factorization.

135739400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 135739400 is about 11650.7252993108. The cubic root of 135739400 is about 513.9276394879.

The spelling of 135739400 in words is "one hundred thirty-five million, seven hundred thirty-nine thousand, four hundred".