135047795400 has 768 divisors, whose sum is σ = 545054400000. Its totient is φ = 30098718720.

The previous prime is 135047795387. The next prime is 135047795431. The reversal of 135047795400 is 4597740531.

135047795400 is a `hidden beast` number, since 1 + 3 + 50 + 477 + 95 + 40 + 0 = 666.

It is a super-2 number, since 2×135047795400² (a number of 23 digits) contains 22 as substring.

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

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, 300774376 + ... + 300774824.

It is an arithmetic number, because the mean of its divisors is an integer number (709706250).

Almost surely, 2^135047795400 is an apocalyptic number.

135047795400 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 135047795400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272527200000).

135047795400 is an abundant number, since it is smaller than the sum of its proper divisors (410006604600).

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

135047795400 is a wasteful number, since it uses less digits than its factorization.

135047795400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 135047795400 in words is "one hundred thirty-five billion, forty-seven million, seven hundred ninety-five thousand, four hundred".