135553305100 has 108 divisors (see below), whose sum is σ = 305123828464. Its totient is φ = 52269154560.

The previous prime is 135553305089. The next prime is 135553305109. The reversal of 135553305100 is 1503355531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135553305109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104031049 + ... + 104032351.

Almost surely, 2^135553305100 is an apocalyptic number.

135553305100 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 135553305100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152561914232).

135553305100 is an abundant number, since it is smaller than the sum of its proper divisors (169570523364).

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

135553305100 is a wasteful number, since it uses less digits than its factorization.

135553305100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 16875, while the sum is 31.

The spelling of 135553305100 in words is "one hundred thirty-five billion, five hundred fifty-three million, three hundred five thousand, one hundred".