135150400 has 168 divisors, whose sum is σ = 414991296. Its totient is φ = 42086400.

The previous prime is 135150377. The next prime is 135150403. The reversal of 135150400 is 4051531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135150403) 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, 122652 + ... + 123748.

Almost surely, 2^135150400 is an apocalyptic number.

135150400 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 135150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207495648).

135150400 is an abundant number, since it is smaller than the sum of its proper divisors (279840896).

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

135150400 is a wasteful number, since it uses less digits than its factorization.

135150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 135150400 is about 11625.4204225052. The cubic root of 135150400 is about 513.1832172885.

The spelling of 135150400 in words is "one hundred thirty-five million, one hundred fifty thousand, four hundred".