133431077136 has 160 divisors (see below), whose sum is σ = 413196410880. Its totient is φ = 36303441408.

The previous prime is 133431077069. The next prime is 133431077159. The reversal of 133431077136 is 631770134331.

It is a junction number, because it is equal to n+sod(n) for n = 133431077094 and 133431077103.

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, 470125 + ... + 698483.

It is an arithmetic number, because the mean of its divisors is an integer number (2582477568).

Almost surely, 2^133431077136 is an apocalyptic number.

133431077136 is a gapful number since it is divisible by the number (16) 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 133431077136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206598205440).

133431077136 is an abundant number, since it is smaller than the sum of its proper divisors (279765333744).

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

133431077136 is a wasteful number, since it uses less digits than its factorization.

133431077136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228461 (or 228455 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The spelling of 133431077136 in words is "one hundred thirty-three billion, four hundred thirty-one million, seventy-seven thousand, one hundred thirty-six".