133739527680 has 800 divisors, whose sum is σ = 553458549600. Its totient is φ = 30505697280.

The previous prime is 133739527661. The next prime is 133739527699. The reversal of 133739527680 is 86725937331.

133739527680 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 39 + 527 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (133739527661) and next prime (133739527699).

It is a super-2 number, since 2×133739527680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38774596 + ... + 38778044.

It is an arithmetic number, because the mean of its divisors is an integer number (691823187).

Almost surely, 2^133739527680 is an apocalyptic number.

133739527680 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 133739527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276729274800).

133739527680 is an abundant number, since it is smaller than the sum of its proper divisors (419719021920).

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

133739527680 is a wasteful number, since it uses less digits than its factorization.

133739527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 133739527680 in words is "one hundred thirty-three billion, seven hundred thirty-nine million, five hundred twenty-seven thousand, six hundred eighty".