133114410 has 96 divisors (see below), whose sum is σ = 406643328. Its totient is φ = 29784960.

The previous prime is 133114391. The next prime is 133114411. The reversal of 133114410 is 14411331.

It is a super-2 number, since 2×133114410² = 35438892299296200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133114411) 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, 7699 + ... + 18041.

It is an arithmetic number, because the mean of its divisors is an integer number (4235868).

Almost surely, 2^133114410 is an apocalyptic number.

133114410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133114410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203321664).

133114410 is an abundant number, since it is smaller than the sum of its proper divisors (273528918).

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

133114410 is a wasteful number, since it uses less digits than its factorization.

133114410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10380 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 133114410 is about 11537.5218309653. The cubic root of 133114410 is about 510.5931967336.

Adding to 133114410 its reverse (14411331), we get a palindrome (147525741).

The spelling of 133114410 in words is "one hundred thirty-three million, one hundred fourteen thousand, four hundred ten".