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136989312 = 273532127
BaseRepresentation
bin10000010101001…
…00101010000000
3100112202210000020
420022210222000
5240032124222
621332053440
73252250515
oct1012445200
9315683006
10136989312
1170366109
1239a64280
13224c4b85
141429d30c
15c05e65c
hex82a4a80

136989312 has 96 divisors (see below), whose sum is σ = 373793280. Its totient is φ = 44448768.

The previous prime is 136989299. The next prime is 136989319. The reversal of 136989312 is 213989631.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (136989319) 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, 1078593 + ... + 1078719.

It is an arithmetic number, because the mean of its divisors is an integer number (3893680).

Almost surely, 2136989312 is an apocalyptic number.

136989312 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 136989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186896640).

136989312 is an abundant number, since it is smaller than the sum of its proper divisors (236803968).

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

136989312 is an equidigital number, since it uses as much as digits as its factorization.

136989312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 185 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 136989312 is about 11704.2433330822. The cubic root of 136989312 is about 515.5002673348.

The spelling of 136989312 in words is "one hundred thirty-six million, nine hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 127 128 159 192 212 254 318 381 384 424 508 636 762 848 1016 1272 1524 1696 2032 2544 2809 3048 3392 4064 5088 5618 6096 6731 6784 8128 8427 10176 11236 12192 13462 16256 16854 20193 20352 22472 24384 26924 33708 40386 44944 48768 53848 67416 80772 89888 107696 134832 161544 179776 215392 269664 323088 356743 359552 430784 539328 646176 713486 861568 1070229 1078656 1292352 1426972 2140458 2584704 2853944 4280916 5707888 8561832 11415776 17123664 22831552 34247328 45663104 68494656 136989312