135059400 has 288 divisors, whose sum is σ = 538923840. Its totient is φ = 30792960.

The previous prime is 135059399. The next prime is 135059401. The reversal of 135059400 is 4950531.

It is an interprime number because it is at equal distance from previous prime (135059399) and next prime (135059401).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135059401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 340002 + ... + 340398.

Almost surely, 2^135059400 is an apocalyptic number.

135059400 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 135059400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269461920).

135059400 is an abundant number, since it is smaller than the sum of its proper divisors (403864440).

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

135059400 is a wasteful number, since it uses less digits than its factorization.

135059400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135059400 is about 11621.5059265140. The cubic root of 135059400 is about 513.0680119123.

The spelling of 135059400 in words is "one hundred thirty-five million, fifty-nine thousand, four hundred".