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136714992 = 24341127547
BaseRepresentation
bin10000010011000…
…01101011110000
3100112020211201020
420021201223300
5234444334432
621322135440
73250025661
oct1011415360
9315224636
10136714992
1170198aa7
1239951580
132242a05b
141422b368
15c00822c
hex8261af0

136714992 has 80 divisors (see below), whose sum is σ = 365309952. Its totient is φ = 44029440.

The previous prime is 136714943. The next prime is 136714993. The reversal of 136714992 is 299417631.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136714993) by changing a digit.

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, 249663 + ... + 250209.

Almost surely, 2136714992 is an apocalyptic number.

136714992 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 136714992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182654976).

136714992 is an abundant number, since it is smaller than the sum of its proper divisors (228594960).

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

136714992 is a wasteful number, since it uses less digits than its factorization.

136714992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 136714992 is about 11692.5186337247. The cubic root of 136714992 is about 515.1559423444.

The spelling of 136714992 in words is "one hundred thirty-six million, seven hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 127 164 246 254 328 381 492 508 547 656 762 984 1016 1094 1524 1641 1968 2032 2188 3048 3282 4376 5207 6096 6564 8752 10414 13128 15621 20828 22427 26256 31242 41656 44854 62484 67281 69469 83312 89708 124968 134562 138938 179416 208407 249936 269124 277876 358832 416814 538248 555752 833628 1076496 1111504 1667256 2848229 3334512 5696458 8544687 11392916 17089374 22785832 34178748 45571664 68357496 136714992