133887392835840 has 324 divisors, whose sum is σ = 538866872857404. Its totient is φ = 30602832519168.

The previous prime is 133887392835769. The next prime is 133887392835949. The reversal of 133887392835840 is 48538293788331.

133887392835840 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 8 + 7 + 39 + 2 + 8 + 3 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60597630664704 + 73289762171136 = 7784448^2 + 8560944^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118029087 + ... + 119158046.

It is an arithmetic number, because the mean of its divisors is an integer number (1663169360671).

Almost surely, 2^{133887392835840} is an apocalyptic number.

133887392835840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133887392835840 is an abundant number, since it is smaller than the sum of its proper divisors (404979480021564).

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

133887392835840 is a wasteful number, since it uses less digits than its factorization.

133887392835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237187174 (or 237187150 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 133887392835840 in words is "one hundred thirty-three trillion, eight hundred eighty-seven billion, three hundred ninety-two million, eight hundred thirty-five thousand, eight hundred forty".