135849178080 has 1152 divisors, whose sum is σ = 603867156480. Its totient is φ = 27918950400.

The previous prime is 135849178061. The next prime is 135849178097. The reversal of 135849178080 is 80871948531.

135849178080 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 491 + 78 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 501288345 + ... + 501288615.

It is an arithmetic number, because the mean of its divisors is an integer number (524190240).

Almost surely, 2^135849178080 is an apocalyptic number.

135849178080 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 135849178080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301933578240).

135849178080 is an abundant number, since it is smaller than the sum of its proper divisors (468017978400).

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

135849178080 is a wasteful number, since it uses less digits than its factorization.

135849178080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 135849178080 in words is "one hundred thirty-five billion, eight hundred forty-nine million, one hundred seventy-eight thousand, eighty".