135791247900 has 576 divisors, whose sum is σ = 513183154176. Its totient is φ = 26881536000.

The previous prime is 135791247859. The next prime is 135791247931. The reversal of 135791247900 is 9742197531.

It is a self number, because there is not a number n which added to its sum of digits gives 135791247900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228990004 + ... + 228990596.

It is an arithmetic number, because the mean of its divisors is an integer number (890942976).

Almost surely, 2^135791247900 is an apocalyptic number.

135791247900 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 135791247900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256591577088).

135791247900 is an abundant number, since it is smaller than the sum of its proper divisors (377391906276).

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

135791247900 is a wasteful number, since it uses less digits than its factorization.

135791247900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 135791247900 in words is "one hundred thirty-five billion, seven hundred ninety-one million, two hundred forty-seven thousand, nine hundred".