135378354672 has 200 divisors, whose sum is σ = 427779464112. Its totient is φ = 40991616000.

The previous prime is 135378354667. The next prime is 135378354673. The reversal of 135378354672 is 276453873531.

135378354672 is a `hidden beast` number, since 1 + 3 + 537 + 8 + 35 + 4 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135378354673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23334172 + ... + 23339972.

Almost surely, 2^135378354672 is an apocalyptic number.

135378354672 is a gapful number since it is divisible by the number (12) 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 135378354672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213889732056).

135378354672 is an abundant number, since it is smaller than the sum of its proper divisors (292401109440).

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

135378354672 is a wasteful number, since it uses less digits than its factorization.

135378354672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469 (or 7454 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 135378354672 in words is "one hundred thirty-five billion, three hundred seventy-eight million, three hundred fifty-four thousand, six hundred seventy-two".