133012938240 has 2400 divisors, whose sum is σ = 640086844320. Its totient is φ = 26085556224.

The previous prime is 133012938217. The next prime is 133012938257. The reversal of 133012938240 is 42839210331.

It is a super-3 number, since 3×133012938240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133012938195 and 133012938204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2509678054 + ... + 2509678106.

Almost surely, 2^133012938240 is an apocalyptic number.

133012938240 is a gapful number since it is divisible by the number (10) 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 133012938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320043422160).

133012938240 is an abundant number, since it is smaller than the sum of its proper divisors (507073906080).

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

133012938240 is a wasteful number, since it uses less digits than its factorization.

133012938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 133012938240 in words is "one hundred thirty-three billion, twelve million, nine hundred thirty-eight thousand, two hundred forty".