133742400 has 336 divisors, whose sum is σ = 510235200. Its totient is φ = 30310400.

The previous prime is 133742381. The next prime is 133742407. The reversal of 133742400 is 4247331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133742407) 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, 897526 + ... + 897674.

Almost surely, 2^133742400 is an apocalyptic number.

133742400 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 133742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255117600).

133742400 is an abundant number, since it is smaller than the sum of its proper divisors (376492800).

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

133742400 is a wasteful number, since it uses less digits than its factorization.

133742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 133742400 is about 11564.7049248997. The cubic root of 133742400 is about 511.3948742848.

Adding to 133742400 its reverse (4247331), we get a palindrome (137989731).

The spelling of 133742400 in words is "one hundred thirty-three million, seven hundred forty-two thousand, four hundred".