135458800470 has 160 divisors (see below), whose sum is σ = 416614809600. Its totient is φ = 30936147264.

The previous prime is 135458800429. The next prime is 135458800493. The reversal of 135458800470 is 74008854531.

135458800470 is a `hidden beast` number, since 1 + 3 + 54 + 58 + 80 + 0 + 470 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7242591 + ... + 7261269.

It is an arithmetic number, because the mean of its divisors is an integer number (2603842560).

Almost surely, 2^135458800470 is an apocalyptic number.

135458800470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135458800470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208307404800).

135458800470 is an abundant number, since it is smaller than the sum of its proper divisors (281156009130).

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

135458800470 is a wasteful number, since it uses less digits than its factorization.

135458800470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19984 (or 19975 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 135458800470 in words is "one hundred thirty-five billion, four hundred fifty-eight million, eight hundred thousand, four hundred seventy".