135272122070400 has 1920 divisors, whose sum is σ = 620385470020800. Its totient is φ = 28313816924160.

The previous prime is 135272122070333. The next prime is 135272122070453. The reversal of 135272122070400 is 4070221272531.

135272122070400 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 7 + 21 + 220 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1141198336 + ... + 1141316864.

Almost surely, 2^{135272122070400} is an apocalyptic number.

135272122070400 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 135272122070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310192735010400).

135272122070400 is an abundant number, since it is smaller than the sum of its proper divisors (485113347950400).

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

135272122070400 is a wasteful number, since it uses less digits than its factorization.

135272122070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118626 (or 118600 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 135272122070400 in words is "one hundred thirty-five trillion, two hundred seventy-two billion, one hundred twenty-two million, seventy thousand, four hundred".