133540680 has 192 divisors, whose sum is σ = 502165440. Its totient is φ = 28159488.

The previous prime is 133540637. The next prime is 133540681. The reversal of 133540680 is 86045331.

133540680 = T₁₄₆ + T₁₄₇ + ... + T₉₂₉.

It is a super-2 number, since 2×133540680² = 35666226429724800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (133540681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75567 + ... + 77313.

It is an arithmetic number, because the mean of its divisors is an integer number (2615445).

Almost surely, 2^133540680 is an apocalyptic number.

133540680 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 133540680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251082720).

133540680 is an abundant number, since it is smaller than the sum of its proper divisors (368624760).

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

133540680 is a wasteful number, since it uses less digits than its factorization.

133540680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 133540680 is about 11555.9802699728. The cubic root of 133540680 is about 511.1376372846.

The spelling of 133540680 in words is "one hundred thirty-three million, five hundred forty thousand, six hundred eighty".