133185492240 has 320 divisors, whose sum is σ = 452315549952. Its totient is φ = 32284672000.

The previous prime is 133185492233. The next prime is 133185492259. The reversal of 133185492240 is 42294581331.

It is a happy number.

It is a super-2 number, since 2×133185492240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133185492192 and 133185492201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16891339 + ... + 16899221.

Almost surely, 2^133185492240 is an apocalyptic number.

133185492240 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 133185492240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226157774976).

133185492240 is an abundant number, since it is smaller than the sum of its proper divisors (319130057712).

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

133185492240 is a wasteful number, since it uses less digits than its factorization.

133185492240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8058 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 133185492240 in words is "one hundred thirty-three billion, one hundred eighty-five million, four hundred ninety-two thousand, two hundred forty".