135689400 has 432 divisors, whose sum is σ = 578869200. Its totient is φ = 27878400.

The previous prime is 135689399. The next prime is 135689447. The reversal of 135689400 is 4986531.

135689400 is a `hidden beast` number, since 1 + 3 + 568 + 94 + 0 + 0 = 666.

It is a super-2 number, since 2×135689400² = 36823226544720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1524556 + ... + 1524644.

It is an arithmetic number, because the mean of its divisors is an integer number (1339975).

Almost surely, 2^135689400 is an apocalyptic number.

135689400 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 135689400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289434600).

135689400 is an abundant number, since it is smaller than the sum of its proper divisors (443179800).

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

135689400 is a wasteful number, since it uses less digits than its factorization.

135689400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135689400 is about 11648.5793125170. The cubic root of 135689400 is about 513.8645294949.

The spelling of 135689400 in words is "one hundred thirty-five million, six hundred eighty-nine thousand, four hundred".