135100253040 has 160 divisors (see below), whose sum is σ = 422777511936. Its totient is φ = 35686425600.

The previous prime is 135100253033. The next prime is 135100253059. The reversal of 135100253040 is 40352001531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135100253040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21363319 + ... + 21369641.

Almost surely, 2^135100253040 is an apocalyptic number.

135100253040 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 135100253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211388755968).

135100253040 is an abundant number, since it is smaller than the sum of its proper divisors (287677258896).

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

135100253040 is a wasteful number, since it uses less digits than its factorization.

135100253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 135100253040 its reverse (40352001531), we get a palindrome (175452254571).

The spelling of 135100253040 in words is "one hundred thirty-five billion, one hundred million, two hundred fifty-three thousand, forty".