135554534100 has 288 divisors, whose sum is σ = 442715414400. Its totient is φ = 35577216000.

The previous prime is 135554534083. The next prime is 135554534147. The reversal of 135554534100 is 1435455531.

135554534100 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 545 + 3 + 4 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48811912 + ... + 48814688.

It is an arithmetic number, because the mean of its divisors is an integer number (1537206300).

Almost surely, 2^135554534100 is an apocalyptic number.

135554534100 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 135554534100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221357707200).

135554534100 is an abundant number, since it is smaller than the sum of its proper divisors (307160880300).

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

135554534100 is a wasteful number, since it uses less digits than its factorization.

135554534100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 135554534100 its reverse (1435455531), we get a palindrome (136989989631).

The spelling of 135554534100 in words is "one hundred thirty-five billion, five hundred fifty-four million, five hundred thirty-four thousand, one hundred".