135468100 has 144 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 47692800.

The previous prime is 135468097. The next prime is 135468101. The reversal of 135468100 is 1864531.

It is a super-2 number, since 2×135468100² = 36703212235220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135468101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2882277 + ... + 2882323.

It is an arithmetic number, because the mean of its divisors is an integer number (2308880).

Almost surely, 2^135468100 is an apocalyptic number.

135468100 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 135468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

135468100 is an abundant number, since it is smaller than the sum of its proper divisors (197010620).

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

135468100 is a wasteful number, since it uses less digits than its factorization.

135468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 135468100 is about 11639.0764238405. The cubic root of 135468100 is about 513.5850183500.

The spelling of 135468100 in words is "one hundred thirty-five million, four hundred sixty-eight thousand, one hundred".