135064445400 has 144 divisors (see below), whose sum is σ = 455042501160. Its totient is φ = 35901964800.

The previous prime is 135064445389. The next prime is 135064445441. The reversal of 135064445400 is 4544460531.

135064445400 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 644 + 4 + 5 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×135064445400² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 443535 + ... + 683265.

Almost surely, 2^135064445400 is an apocalyptic number.

135064445400 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 135064445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227521250580).

135064445400 is an abundant number, since it is smaller than the sum of its proper divisors (319978055760).

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

135064445400 is a wasteful number, since it uses less digits than its factorization.

135064445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240066 (or 240054 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 135064445400 in words is "one hundred thirty-five billion, sixty-four million, four hundred forty-five thousand, four hundred".