Search a number
-
+
135374400 = 26325271779
BaseRepresentation
bin10000001000110…
…10011001000000
3100102201201202200
420010122121000
5234123440100
621233313200
73232443360
oct1004323100
9312651680
10135374400
116a462877
1239405800
132207aac5
1413d9c9a0
15bd40e00
hex811a640

135374400 has 504 divisors, whose sum is σ = 589605120. Its totient is φ = 28753920.

The previous prime is 135374381. The next prime is 135374423. The reversal of 135374400 is 4473531.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1713561 + ... + 1713639.

Almost surely, 2135374400 is an apocalyptic number.

135374400 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 135374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294802560).

135374400 is an abundant number, since it is smaller than the sum of its proper divisors (454230720).

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

135374400 is a wasteful number, since it uses less digits than its factorization.

135374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 135374400 is about 11635.0504940890. The cubic root of 135374400 is about 513.4665796041.

The spelling of 135374400 in words is "one hundred thirty-five million, three hundred seventy-four thousand, four hundred".