133760640 has 256 divisors, whose sum is σ = 481178880. Its totient is φ = 31358976.

The previous prime is 133760633. The next prime is 133760647. The reversal of 133760640 is 46067331.

It is an interprime number because it is at equal distance from previous prime (133760633) and next prime (133760647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133760598 and 133760607.

It is not an unprimeable number, because it can be changed into a prime (133760647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573964 + ... + 574196.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^133760640 is an apocalyptic number.

133760640 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 133760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

133760640 is an abundant number, since it is smaller than the sum of its proper divisors (347418240).

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

133760640 is a wasteful number, since it uses less digits than its factorization.

133760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 133760640 is about 11565.4935043862. The cubic root of 133760640 is about 511.4181215085.

It can be divided in two parts, 13 and 3760640, that added together give a triangular number (3760653 = T₂₇₄₂).

The spelling of 133760640 in words is "one hundred thirty-three million, seven hundred sixty thousand, six hundred forty".