135717400 has 96 divisors (see below), whose sum is σ = 388412640. Its totient is φ = 42946560.

The previous prime is 135717391. The next prime is 135717401. The reversal of 135717400 is 4717531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135717401) 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, 14472 + ... + 21928.

It is an arithmetic number, because the mean of its divisors is an integer number (4045965).

Almost surely, 2^135717400 is an apocalyptic number.

135717400 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 135717400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194206320).

135717400 is an abundant number, since it is smaller than the sum of its proper divisors (252695240).

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

135717400 is a wasteful number, since it uses less digits than its factorization.

135717400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7493 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 135717400 is about 11649.7811138236. The cubic root of 135717400 is about 513.8998730006.

The spelling of 135717400 in words is "one hundred thirty-five million, seven hundred seventeen thousand, four hundred".