134292400 has 120 divisors (see below), whose sum is σ = 367547904. Its totient is φ = 46675200.

The previous prime is 134292317. The next prime is 134292413. The reversal of 134292400 is 4292431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100537 + ... + 101863.

Almost surely, 2^134292400 is an apocalyptic number.

134292400 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 134292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183773952).

134292400 is an abundant number, since it is smaller than the sum of its proper divisors (233255504).

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

134292400 is a wasteful number, since it uses less digits than its factorization.

134292400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 134292400 is about 11588.4597768642. The cubic root of 134292400 is about 512.0949327550.

The spelling of 134292400 in words is "one hundred thirty-four million, two hundred ninety-two thousand, four hundred".