135451400 has 96 divisors (see below), whose sum is σ = 371642880. Its totient is φ = 44928000.

The previous prime is 135451363. The next prime is 135451417. The reversal of 135451400 is 4154531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41840 + ... + 44960.

It is an arithmetic number, because the mean of its divisors is an integer number (3871280).

Almost surely, 2^135451400 is an apocalyptic number.

135451400 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 135451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185821440).

135451400 is an abundant number, since it is smaller than the sum of its proper divisors (236191480).

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

135451400 is a wasteful number, since it uses less digits than its factorization.

135451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 135451400 is about 11638.3589908543. The cubic root of 135451400 is about 513.5639132036.

The spelling of 135451400 in words is "one hundred thirty-five million, four hundred fifty-one thousand, four hundred".