135212400 has 270 divisors, whose sum is σ = 497421288. Its totient is φ = 34003200.

The previous prime is 135212347. The next prime is 135212411. The reversal of 135212400 is 4212531.

It is a super-2 number, since 2×135212400² = 36564786227520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1904365 + ... + 1904435.

Almost surely, 2^135212400 is an apocalyptic number.

135212400 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 135212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248710644).

135212400 is an abundant number, since it is smaller than the sum of its proper divisors (362208888).

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

135212400 is a wasteful number, since it uses less digits than its factorization.

135212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 135212400 is about 11628.0866869834. The cubic root of 135212400 is about 513.2616792473.

Adding to 135212400 its reverse (4212531), we get a palindrome (139424931).

The spelling of 135212400 in words is "one hundred thirty-five million, two hundred twelve thousand, four hundred".