135019791131904 has 432 divisors, whose sum is σ = 469068092846080. Its totient is φ = 36488739409920.

The previous prime is 135019791131851. The next prime is 135019791131933. The reversal of 135019791131904 is 409131197910531.

It is a happy number.

135019791131904 is a `hidden beast` number, since 1 + 3 + 50 + 197 + 91 + 1 + 319 + 0 + 4 = 666.

It is a congruent number.

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, 193009449 + ... + 193707735.

Almost surely, 2^{135019791131904} is an apocalyptic number.

135019791131904 is a gapful number since it is divisible by the number (14) 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 135019791131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234534046423040).

135019791131904 is an abundant number, since it is smaller than the sum of its proper divisors (334048301714176).

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

135019791131904 is a wasteful number, since it uses less digits than its factorization.

135019791131904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698966 (or 698949 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 135019791131904 in words is "one hundred thirty-five trillion, nineteen billion, seven hundred ninety-one million, one hundred thirty-one thousand, nine hundred four".