135760301292 has 288 divisors, whose sum is σ = 422246522880. Its totient is φ = 32973972480.

The previous prime is 135760301233. The next prime is 135760301317. The reversal of 135760301292 is 292103067531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135760301292.

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, 43525309 + ... + 43528427.

It is an arithmetic number, because the mean of its divisors is an integer number (1466133760).

Almost surely, 2^135760301292 is an apocalyptic number.

135760301292 is a gapful number since it is divisible by the number (12) 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 135760301292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211123261440).

135760301292 is an abundant number, since it is smaller than the sum of its proper divisors (286486221588).

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

135760301292 is a wasteful number, since it uses less digits than its factorization.

135760301292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 135760301292 in words is "one hundred thirty-five billion, seven hundred sixty million, three hundred one thousand, two hundred ninety-two".