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137568690 = 23257218363
BaseRepresentation
bin10000011001100…
…10000110110010
3100120212012202200
420030302012302
5240204144230
621352324030
73260212620
oct1014620662
9316765680
10137568690
1170721436
123a0a3616
13226687bc
14143b0510
15c126160
hex83321b2

137568690 has 48 divisors (see below), whose sum is σ = 408777408. Its totient is φ = 31444128.

The previous prime is 137568649. The next prime is 137568713. The reversal of 137568690 is 96865731.

It is a happy number.

It is a super-2 number, since 2×1375686902 = 37850288936632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 108552 + ... + 109811.

It is an arithmetic number, because the mean of its divisors is an integer number (8516196).

Almost surely, 2137568690 is an apocalyptic number.

137568690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137568690 is an abundant number, since it is smaller than the sum of its proper divisors (271208718).

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

137568690 is a wasteful number, since it uses less digits than its factorization.

137568690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218383 (or 218380 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 137568690 is about 11728.9679852918. The cubic root of 137568690 is about 516.2259916880.

The spelling of 137568690 in words is "one hundred thirty-seven million, five hundred sixty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 218363 436726 655089 1091815 1310178 1528541 1965267 2183630 3057082 3275445 3930534 4585623 6550890 7642705 9171246 9826335 13756869 15285410 19652670 22928115 27513738 45856230 68784345 137568690