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137706750 = 2335323887
BaseRepresentation
bin10000011010100…
…11110011111110
3100121010020011000
420031103303332
5240223104000
621355311130
73261326256
oct1015236376
9317106130
10137706750
1170806135
123a14b4a6
13226b65ac
1414408966
15c152000
hex8353cfe

137706750 has 128 divisors (see below), whose sum is σ = 398960640. Its totient is φ = 35085600.

The previous prime is 137706739. The next prime is 137706799. The reversal of 137706750 is 57607731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154807 + ... + 155693.

It is an arithmetic number, because the mean of its divisors is an integer number (3116880).

Almost surely, 2137706750 is an apocalyptic number.

137706750 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 137706750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199480320).

137706750 is an abundant number, since it is smaller than the sum of its proper divisors (261253890).

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

137706750 is a wasteful number, since it uses less digits than its factorization.

137706750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 137706750 is about 11734.8519377110. The cubic root of 137706750 is about 516.3986238282.

The spelling of 137706750 in words is "one hundred thirty-seven million, seven hundred six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 125 135 138 150 207 225 230 250 270 345 375 414 450 575 621 675 690 750 887 1035 1125 1150 1242 1350 1725 1774 2070 2250 2661 2875 3105 3375 3450 4435 5175 5322 5750 6210 6750 7983 8625 8870 10350 13305 15525 15966 17250 20401 22175 23949 25875 26610 31050 39915 40802 44350 47898 51750 61203 66525 77625 79830 102005 110875 119745 122406 133050 155250 183609 199575 204010 221750 239490 306015 332625 367218 399150 510025 550827 598725 612030 665250 918045 997875 1020050 1101654 1197450 1530075 1836090 1995750 2550125 2754135 2993625 3060150 4590225 5100250 5508270 5987250 7650375 9180450 13770675 15300750 22951125 27541350 45902250 68853375 137706750