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136134072 = 233215712043
BaseRepresentation
bin10000001110100…
…11110110111000
3100111011022211200
420013103312320
5234322242242
621301454200
73242056224
oct1007236670
9314138750
10136134072
116a9315a8
1239711360
1322285809
1414119784
15be4104c
hex81d3db8

136134072 has 48 divisors (see below), whose sum is σ = 371075640. Its totient is φ = 45085248.

The previous prime is 136134059. The next prime is 136134073. The reversal of 136134072 is 270431631.

136134072 is a `hidden beast` number, since 1 + 3 + 613 + 40 + 7 + 2 = 666.

136134072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136134073) 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, 5283 + ... + 17325.

Almost surely, 2136134072 is an apocalyptic number.

136134072 is a gapful number since it is divisible by the number (12) 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 136134072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185537820).

136134072 is an abundant number, since it is smaller than the sum of its proper divisors (234941568).

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

136134072 is a wasteful number, since it uses less digits than its factorization.

136134072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212 (or 12205 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 136134072 is about 11667.6506632655. The cubic root of 136134072 is about 514.4252512906.

The spelling of 136134072 in words is "one hundred thirty-six million, one hundred thirty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 11304 12043 24086 36129 48172 72258 96344 108387 144516 216774 289032 433548 867096 1890751 3781502 5672253 7563004 11344506 15126008 17016759 22689012 34033518 45378024 68067036 136134072