133787640 has 192 divisors, whose sum is σ = 475817760. Its totient is φ = 29998080.

The previous prime is 133787623. The next prime is 133787651. The reversal of 133787640 is 46787331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358494 + ... + 358866.

Almost surely, 2^133787640 is an apocalyptic number.

133787640 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 133787640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237908880).

133787640 is an abundant number, since it is smaller than the sum of its proper divisors (342030120).

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

133787640 is a wasteful number, since it uses less digits than its factorization.

133787640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 133787640 is about 11566.6607108534. The cubic root of 133787640 is about 511.4525296381.

The spelling of 133787640 in words is "one hundred thirty-three million, seven hundred eighty-seven thousand, six hundred forty".