134745600 has 360 divisors, whose sum is σ = 506139480. Its totient is φ = 31539200.

The previous prime is 134745599. The next prime is 134745613. The reversal of 134745600 is 6547431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4646386 + ... + 4646414.

It is an arithmetic number, because the mean of its divisors is an integer number (1405943).

Almost surely, 2^134745600 is an apocalyptic number.

134745600 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 134745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253069740).

134745600 is an abundant number, since it is smaller than the sum of its proper divisors (371393880).

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

134745600 is a wasteful number, since it uses less digits than its factorization.

134745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 134745600 is about 11607.9972432802. The cubic root of 134745600 is about 512.6703459119.

The spelling of 134745600 in words is "one hundred thirty-four million, seven hundred forty-five thousand, six hundred".