135466400 has 72 divisors (see below), whose sum is σ = 332377164. Its totient is φ = 53913600.

The previous prime is 135466393. The next prime is 135466403. The reversal of 135466400 is 4664531.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7595536 + 127870864 = 2756^2 + 11308^2 .

It is a super-2 number, since 2×135466400² = 36702291057920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135466403) 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, 250130 + ... + 250670.

Almost surely, 2^135466400 is an apocalyptic number.

135466400 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 135466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166188582).

135466400 is an abundant number, since it is smaller than the sum of its proper divisors (196910764).

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

135466400 is a wasteful number, since it uses less digits than its factorization.

135466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 135466400 is about 11639.0033937619. The cubic root of 135466400 is about 513.5828700012.

The spelling of 135466400 in words is "one hundred thirty-five million, four hundred sixty-six thousand, four hundred".