Search a number
-
+
135880704 = 213321997
BaseRepresentation
bin10000001100101…
…10000000000000
3100110200110021200
420012112000000
5234241140304
621252221200
73236652441
oct1006260000
9313613250
10135880704
116a779203
123960a800
13221c73ab
14140912c8
15bde0e39
hex8196000

135880704 has 168 divisors, whose sum is σ = 417438840. Its totient is φ = 42467328.

The previous prime is 135880681. The next prime is 135880709. The reversal of 135880704 is 407088531.

135880704 is a `hidden beast` number, since 1 + 3 + 588 + 0 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135880709) 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, 1400784 + ... + 1400880.

It is an arithmetic number, because the mean of its divisors is an integer number (2484755).

Almost surely, 2135880704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135880704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208719420).

135880704 is an abundant number, since it is smaller than the sum of its proper divisors (281558136).

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

135880704 is an equidigital number, since it uses as much as digits as its factorization.

135880704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135880704 is about 11656.7878937553. The cubic root of 135880704 is about 514.1059096308.

The spelling of 135880704 in words is "one hundred thirty-five million, eight hundred eighty thousand, seven hundred four".