134661400 has 48 divisors (see below), whose sum is σ = 314377200. Its totient is φ = 53642880.

The previous prime is 134661391. The next prime is 134661409. The reversal of 134661400 is 4166431.

It is an interprime number because it is at equal distance from previous prime (134661391) and next prime (134661409).

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 (134661409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52549 + ... + 55051.

It is an arithmetic number, because the mean of its divisors is an integer number (6549525).

Almost surely, 2^134661400 is an apocalyptic number.

134661400 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 134661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157188600).

134661400 is an abundant number, since it is smaller than the sum of its proper divisors (179715800).

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

134661400 is a wasteful number, since it uses less digits than its factorization.

134661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 134661400 is about 11604.3698665632. The cubic root of 134661400 is about 512.5635376312.

The spelling of 134661400 in words is "one hundred thirty-four million, six hundred sixty-one thousand, four hundred".