133397640 has 192 divisors, whose sum is σ = 467026560. Its totient is φ = 32901120.

The previous prime is 133397633. The next prime is 133397687. The reversal of 133397640 is 46793331.

133397640 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 9 + 7 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 133397595 and 133397604.

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, 434367 + ... + 434673.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 2^133397640 is an apocalyptic number.

133397640 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 133397640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

133397640 is an abundant number, since it is smaller than the sum of its proper divisors (333628920).

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

133397640 is a wasteful number, since it uses less digits than its factorization.

133397640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 133397640 is about 11549.7896084734. The cubic root of 133397640 is about 510.9550730706.

The spelling of 133397640 in words is "one hundred thirty-three million, three hundred ninety-seven thousand, six hundred forty".