Search a number
-
+
137758845 = 35722329281
BaseRepresentation
bin10000011011000…
…00100001111101
3100121012212121110
420031200201331
5240231240340
621400352233
73261634200
oct1015404175
9317185543
10137758845
1170841294
123a175679
1322704213
141441d937
15c162680
hex836087d

137758845 has 96 divisors (see below), whose sum is σ = 277758720. Its totient is φ = 57953280.

The previous prime is 137758813. The next prime is 137758853. The reversal of 137758845 is 548857731.

It is a happy number.

It is not a de Polignac number, because 137758845 - 25 = 137758813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137758794 and 137758803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490105 + ... + 490385.

It is an arithmetic number, because the mean of its divisors is an integer number (2893320).

Almost surely, 2137758845 is an apocalyptic number.

137758845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137758845 is an abundant number, since it is smaller than the sum of its proper divisors (139999875).

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

137758845 is a wasteful number, since it uses less digits than its factorization.

137758845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The square root of 137758845 is about 11737.0713979255. The cubic root of 137758845 is about 516.4637341554.

The spelling of 137758845 in words is "one hundred thirty-seven million, seven hundred fifty-eight thousand, eight hundred forty-five".

Divisors: 1 3 5 7 15 21 23 29 35 49 69 87 105 115 145 147 161 203 245 281 345 435 483 609 667 735 805 843 1015 1127 1405 1421 1967 2001 2415 3045 3335 3381 4215 4263 4669 5635 5901 6463 7105 8149 9835 10005 13769 14007 16905 19389 21315 23345 24447 29505 32315 32683 40745 41307 45241 57043 68845 70035 96945 98049 122235 135723 163415 171129 187427 206535 226205 285215 316687 399301 490245 562281 678615 855645 937135 950061 1197903 1311989 1583435 1996505 2811405 3935967 4750305 5989515 6559945 9183923 19679835 27551769 45919615 137758845