135156546642312 has 384 divisors, whose sum is σ = 414952372074240. Its totient is φ = 39431241400320.

The previous prime is 135156546642301. The next prime is 135156546642329. The reversal of 135156546642312 is 213246645651531.

135156546642312 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 5 + 6 + 546 + 64 + 2 + 31 + 2 = 666.

It is a super-2 number, since 2×135156546642312² (a number of 29 digits) contains 22 as substring.

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, 1167470143 + ... + 1167585905.

It is an arithmetic number, because the mean of its divisors is an integer number (1080605135610).

Almost surely, 2^{135156546642312} is an apocalyptic number.

135156546642312 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 135156546642312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207476186037120).

135156546642312 is an abundant number, since it is smaller than the sum of its proper divisors (279795825431928).

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

135156546642312 is a wasteful number, since it uses less digits than its factorization.

135156546642312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116285 (or 116278 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 135156546642312 in words is "one hundred thirty-five trillion, one hundred fifty-six billion, five hundred forty-six million, six hundred forty-two thousand, three hundred twelve".