134750400 has 168 divisors, whose sum is σ = 449762880. Its totient is φ = 35312640.

The previous prime is 134750389. The next prime is 134750401. The reversal of 134750400 is 4057431.

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

It is not an unprimeable number, because it can be changed into a prime (134750401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321391 + ... + 321809.

It is an arithmetic number, because the mean of its divisors is an integer number (2677160).

Almost surely, 2^134750400 is an apocalyptic number.

134750400 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 134750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224881440).

134750400 is an abundant number, since it is smaller than the sum of its proper divisors (315012480).

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

134750400 is a wasteful number, since it uses less digits than its factorization.

134750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 134750400 is about 11608.2039954508. The cubic root of 134750400 is about 512.6764334043.

The spelling of 134750400 in words is "one hundred thirty-four million, seven hundred fifty thousand, four hundred".