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137074896 = 2433745329
BaseRepresentation
bin10000010101110…
…01100011010000
3100112221010102000
420022321203100
5240042344041
621333554000
73253055160
oct1012714320
9315833360
10137074896
1170414442
1239aa5900
1322524b0a
14142c25a0
15c079bb6
hex82b98d0

137074896 has 80 divisors (see below), whose sum is σ = 449673600. Its totient is φ = 39163392.

The previous prime is 137074853. The next prime is 137074897. The reversal of 137074896 is 698470731.

It is a super-2 number, since 2×1370748962 = 37579054226821632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137074897) 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, 19641 + ... + 25688.

It is an arithmetic number, because the mean of its divisors is an integer number (5620920).

Almost surely, 2137074896 is an apocalyptic number.

137074896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137074896 is an abundant number, since it is smaller than the sum of its proper divisors (312598704).

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

137074896 is a wasteful number, since it uses less digits than its factorization.

137074896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45353 (or 45341 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 137074896 is about 11707.8988721290. The cubic root of 137074896 is about 515.6075978259.

The spelling of 137074896 in words is "one hundred thirty-seven million, seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 45329 90658 135987 181316 271974 317303 362632 407961 543948 634606 725264 815922 951909 1087896 1223883 1269212 1631844 1903818 2175792 2447766 2538424 2855727 3263688 3807636 4895532 5076848 5711454 6527376 7615272 8567181 9791064 11422908 15230544 17134362 19582128 22845816 34268724 45691632 68537448 137074896