134757000 has 512 divisors, whose sum is σ = 575078400. Its totient is φ = 28512000.

The previous prime is 134756989. The next prime is 134757001. The reversal of 134757000 is 757431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134757001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4346985 + ... + 4347015.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 2^134757000 is an apocalyptic number.

134757000 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 134757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287539200).

134757000 is an abundant number, since it is smaller than the sum of its proper divisors (440321400).

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

134757000 is a wasteful number, since it uses less digits than its factorization.

134757000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 134757000 is about 11608.4882736728. The cubic root of 134757000 is about 512.6848034703.

The spelling of 134757000 in words is "one hundred thirty-four million, seven hundred fifty-seven thousand".