134674800 has 240 divisors, whose sum is σ = 474657120. Its totient is φ = 32440320.

The previous prime is 134674781. The next prime is 134674847. The reversal of 134674800 is 8476431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388352 + ... + 1388448.

It is an arithmetic number, because the mean of its divisors is an integer number (1977738).

Almost surely, 2^134674800 is an apocalyptic number.

134674800 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 134674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237328560).

134674800 is an abundant number, since it is smaller than the sum of its proper divisors (339982320).

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

134674800 is a wasteful number, since it uses less digits than its factorization.

134674800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 134674800 is about 11604.9472209054. The cubic root of 134674800 is about 512.5805386020.

It can be divided in two parts, 13467 and 4800, that multiplied together give a square (64641600 = 8040²).

The spelling of 134674800 in words is "one hundred thirty-four million, six hundred seventy-four thousand, eight hundred".