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137664930 = 23513438209
BaseRepresentation
bin10000011010010…
…01100110100010
3100121001002210010
420031021212202
5240220234210
621354345350
73261063324
oct1015114642
9317032703
10137664930
1170787777
123a12b256
13226a0550
14143d7614
15c144920
hex83499a2

137664930 has 64 divisors (see below), whose sum is σ = 364129920. Its totient is φ = 33094656.

The previous prime is 137664883. The next prime is 137664931. The reversal of 137664930 is 39466731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (137664931) 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 31 ways as a sum of consecutive naturals, for example, 12666 + ... + 20874.

It is an arithmetic number, because the mean of its divisors is an integer number (5689530).

Almost surely, 2137664930 is an apocalyptic number.

137664930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137664930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182064960).

137664930 is an abundant number, since it is smaller than the sum of its proper divisors (226464990).

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

137664930 is a wasteful number, since it uses less digits than its factorization.

137664930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275.

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 137664930 is about 11733.0699307555. The cubic root of 137664930 is about 516.3463437065.

The spelling of 137664930 in words is "one hundred thirty-seven million, six hundred sixty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 195 215 258 390 430 559 645 1118 1290 1677 2795 3354 5590 8209 8385 16418 16770 24627 41045 49254 82090 106717 123135 213434 246270 320151 352987 533585 640302 705974 1058961 1067170 1600755 1764935 2117922 3201510 3529870 4588831 5294805 9177662 10589610 13766493 22944155 27532986 45888310 68832465 137664930