133746708480 has 832 divisors, whose sum is σ = 565256060928. Its totient is φ = 26140999680.

The previous prime is 133746708479. The next prime is 133746708523. The reversal of 133746708480 is 84807647331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80424129 + ... + 80425791.

It is an arithmetic number, because the mean of its divisors is an integer number (679394304).

Almost surely, 2^133746708480 is an apocalyptic number.

133746708480 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 133746708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282628030464).

133746708480 is an abundant number, since it is smaller than the sum of its proper divisors (431509352448).

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

133746708480 is a wasteful number, since it uses less digits than its factorization.

133746708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 133746708480 in words is "one hundred thirty-three billion, seven hundred forty-six million, seven hundred eight thousand, four hundred eighty".