135054033100 has 72 divisors (see below), whose sum is σ = 335769946848. Its totient is φ = 46188672000.

The previous prime is 135054033097. The next prime is 135054033157. The reversal of 135054033100 is 1330450531.

It is a super-2 number, since 2×135054033100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 40134 + ... + 521266.

It is an arithmetic number, because the mean of its divisors is an integer number (4663471484).

Almost surely, 2^135054033100 is an apocalyptic number.

135054033100 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 135054033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167884973424).

135054033100 is an abundant number, since it is smaller than the sum of its proper divisors (200715913748).

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

135054033100 is a wasteful number, since it uses less digits than its factorization.

135054033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481555 (or 481548 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 135054033100 its reverse (1330450531), we get a palindrome (136384483631).

The spelling of 135054033100 in words is "one hundred thirty-five billion, fifty-four million, thirty-three thousand, one hundred".