135191093760 has 480 divisors, whose sum is σ = 497439626112. Its totient is φ = 33814609920.

The previous prime is 135191093759. The next prime is 135191093771. The reversal of 135191093760 is 67390191531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×135191093760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214248645 + ... + 214249275.

Almost surely, 2^135191093760 is an apocalyptic number.

135191093760 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 135191093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248719813056).

135191093760 is an abundant number, since it is smaller than the sum of its proper divisors (362248532352).

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

135191093760 is a wasteful number, since it uses less digits than its factorization.

135191093760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 135191093760 in words is "one hundred thirty-five billion, one hundred ninety-one million, ninety-three thousand, seven hundred sixty".