133215840 has 240 divisors, whose sum is σ = 495799920. Its totient is φ = 33592320.

The previous prime is 133215779. The next prime is 133215877. The reversal of 133215840 is 48512331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245970 + ... + 246510.

It is an arithmetic number, because the mean of its divisors is an integer number (2065833).

Almost surely, 2^133215840 is an apocalyptic number.

133215840 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 133215840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247899960).

133215840 is an abundant number, since it is smaller than the sum of its proper divisors (362584080).

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

133215840 is a wasteful number, since it uses less digits than its factorization.

133215840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 133215840 is about 11541.9166519257. The cubic root of 133215840 is about 510.7228504137.

The spelling of 133215840 in words is "one hundred thirty-three million, two hundred fifteen thousand, eight hundred forty".