134210400 has 72 divisors (see below), whose sum is σ = 436862664. Its totient is φ = 35788800.

The previous prime is 134210399. The next prime is 134210407. The reversal of 134210400 is 4012431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 134210400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134210407) 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, 25561 + ... + 30360.

It is an arithmetic number, because the mean of its divisors is an integer number (6067537).

Almost surely, 2^134210400 is an apocalyptic number.

134210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134210400 is an abundant number, since it is smaller than the sum of its proper divisors (302652264).

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

134210400 is a wasteful number, since it uses less digits than its factorization.

134210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55944 (or 55931 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 134210400 is about 11584.9212340870. The cubic root of 134210400 is about 511.9906817966.

Adding to 134210400 its reverse (4012431), we get a palindrome (138222831).

The spelling of 134210400 in words is "one hundred thirty-four million, two hundred ten thousand, four hundred".