133461400 has 48 divisors (see below), whose sum is σ = 313417440. Its totient is φ = 52848000.

The previous prime is 133461397. The next prime is 133461401. The reversal of 133461400 is 4164331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133461401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16897 + ... + 23503.

It is an arithmetic number, because the mean of its divisors is an integer number (6529530).

Almost surely, 2^133461400 is an apocalyptic number.

133461400 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 133461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156708720).

133461400 is an abundant number, since it is smaller than the sum of its proper divisors (179956040).

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

133461400 is a wasteful number, since it uses less digits than its factorization.

133461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6724 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 133461400 is about 11552.5495021662. The cubic root of 133461400 is about 511.0364670801.

The spelling of 133461400 in words is "one hundred thirty-three million, four hundred sixty-one thousand, four hundred".