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136745712 = 24333110211
BaseRepresentation
bin10000010011010…
…01001011110000
3100112022101212000
420021221023300
5240001330322
621322534000
73250214355
oct1011511360
9315271760
10136745712
117020a094
1239967300
132243b02c
141423862c
15c0123ac
hex82692f0

136745712 has 80 divisors (see below), whose sum is σ = 405212160. Its totient is φ = 44107200.

The previous prime is 136745689. The next prime is 136745729. The reversal of 136745712 is 217547631.

It is a happy number.

136745712 is a `hidden beast` number, since 13 + 6 + 74 + 571 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8287 + ... + 18497.

It is an arithmetic number, because the mean of its divisors is an integer number (5065152).

Almost surely, 2136745712 is an apocalyptic number.

136745712 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 136745712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202606080).

136745712 is an abundant number, since it is smaller than the sum of its proper divisors (268466448).

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

136745712 is a wasteful number, since it uses less digits than its factorization.

136745712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10259 (or 10247 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 136745712 is about 11693.8322204485. The cubic root of 136745712 is about 515.1945248123.

The spelling of 136745712 in words is "one hundred thirty-six million, seven hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 10211 13392 20422 30633 40844 61266 81688 91899 122532 163376 183798 245064 275697 316541 367596 490128 551394 633082 735192 949623 1102788 1266164 1470384 1899246 2205576 2532328 2848869 3798492 4411152 5064656 5697738 7596984 8546607 11395476 15193968 17093214 22790952 34186428 45581904 68372856 136745712