133542864 has 320 divisors, whose sum is σ = 488857600. Its totient is φ = 33965568.

The previous prime is 133542833. The next prime is 133542911. The reversal of 133542864 is 468245331.

133542864 is a `hidden beast` number, since 1 + 33 + 542 + 86 + 4 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1690377 + ... + 1690455.

It is an arithmetic number, because the mean of its divisors is an integer number (1527680).

Almost surely, 2^133542864 is an apocalyptic number.

133542864 is a gapful number since it is divisible by the number (14) 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 133542864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244428800).

133542864 is an abundant number, since it is smaller than the sum of its proper divisors (355314736).

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

133542864 is a wasteful number, since it uses less digits than its factorization.

133542864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 133542864 is about 11556.0747661133. The cubic root of 133542864 is about 511.1404237477.

The spelling of 133542864 in words is "one hundred thirty-three million, five hundred forty-two thousand, eight hundred sixty-four".