135148100 has 36 divisors (see below), whose sum is σ = 296197188. Its totient is φ = 53520000.

The previous prime is 135148081. The next prime is 135148109. The reversal of 135148100 is 1841531.

It can be written as a sum of positive squares in 6 ways, for example, as 541696 + 134606404 = 736^2 + 11602^2 .

It is a super-2 number, since 2×135148100² = 36530017867220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135148109) 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, 3410 + ... + 16790.

Almost surely, 2^135148100 is an apocalyptic number.

135148100 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 135148100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148098594).

135148100 is an abundant number, since it is smaller than the sum of its proper divisors (161049088).

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

135148100 is a wasteful number, since it uses less digits than its factorization.

135148100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13496 (or 13489 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 135148100 is about 11625.3215009306. The cubic root of 135148100 is about 513.1803061414.

Adding to 135148100 its reverse (1841531), we get a palindrome (136989631).

The spelling of 135148100 in words is "one hundred thirty-five million, one hundred forty-eight thousand, one hundred".