133001757097296 has 160 divisors (see below), whose sum is σ = 352654668656640. Its totient is φ = 43168309017600.

The previous prime is 133001757097289. The next prime is 133001757097303. The reversal of 133001757097296 is 692790757100331.

133001757097296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133001757097289) and next prime (133001757097303).

It is a super-2 number, since 2×133001757097296² (a number of 29 digits) contains 22 as substring.

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, 2192583415 + ... + 2192644073.

It is an arithmetic number, because the mean of its divisors is an integer number (2204091679104).

Almost surely, 2^{133001757097296} is an apocalyptic number.

133001757097296 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 133001757097296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176327334328320).

133001757097296 is an abundant number, since it is smaller than the sum of its proper divisors (219652911559344).

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

133001757097296 is a wasteful number, since it uses less digits than its factorization.

133001757097296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62865 (or 62859 counting only the distinct ones).

The product of its (nonzero) digits is 15002820, while the sum is 60.

The spelling of 133001757097296 in words is "one hundred thirty-three trillion, one billion, seven hundred fifty-seven million, ninety-seven thousand, two hundred ninety-six".