135564372 has 72 divisors (see below), whose sum is σ = 349440000. Its totient is φ = 44307648.

The previous prime is 135564367. The next prime is 135564379. The reversal of 135564372 is 273465531.

135564372 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 643 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135564379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681129 + ... + 681327.

Almost surely, 2^135564372 is an apocalyptic number.

135564372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135564372 is an abundant number, since it is smaller than the sum of its proper divisors (213875628).

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

135564372 is a wasteful number, since it uses less digits than its factorization.

135564372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 480 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 135564372 is about 11643.2114126645. The cubic root of 135564372 is about 513.7066512877.

The spelling of 135564372 in words is "one hundred thirty-five million, five hundred sixty-four thousand, three hundred seventy-two".