134742400 has 192 divisors, whose sum is σ = 371851200. Its totient is φ = 47923200.

The previous prime is 134742389. The next prime is 134742401. The reversal of 134742400 is 4247431.

It is a super-3 number, since 3×134742400³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134742401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1705561 + ... + 1705639.

It is an arithmetic number, because the mean of its divisors is an integer number (1936725).

Almost surely, 2^134742400 is an apocalyptic number.

134742400 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 134742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185925600).

134742400 is an abundant number, since it is smaller than the sum of its proper divisors (237108800).

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

134742400 is a wasteful number, since it uses less digits than its factorization.

134742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 134742400 is about 11607.8594064539. The cubic root of 134742400 is about 512.6662875034. Note that the first 3 decimals are identical.

Adding to 134742400 its reverse (4247431), we get a palindrome (138989831).

The spelling of 134742400 in words is "one hundred thirty-four million, seven hundred forty-two thousand, four hundred".