133456361506542 has 64 divisors (see below), whose sum is σ = 304747197465600. Its totient is φ = 43260107853600.

The previous prime is 133456361506513. The next prime is 133456361506571. The reversal of 133456361506542 is 245605163654331.

133456361506542 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 56 + 36 + 1 + 506 + 54 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133456361506513) and next prime (133456361506571).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14019834 + ... + 21528317.

It is an arithmetic number, because the mean of its divisors is an integer number (4761674960400).

Almost surely, 2^{133456361506542} is an apocalyptic number.

133456361506542 is an abundant number, since it is smaller than the sum of its proper divisors (171290835959058).

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

133456361506542 is a wasteful number, since it uses less digits than its factorization.

133456361506542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35550078 (or 35550072 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 133456361506542 in words is "one hundred thirty-three trillion, four hundred fifty-six billion, three hundred sixty-one million, five hundred six thousand, five hundred forty-two".