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137992250 = 25311192139
BaseRepresentation
bin10000011100110…
…01100000111010
3100121122201210002
420032121200322
5240311223000
621405353002
73263625524
oct1016314072
9317581702
10137992250
1170990690
123a268762
1322786526
1414480a14
15c1ab8d5
hex839983a

137992250 has 96 divisors (see below), whose sum is σ = 299557440. Its totient is φ = 47196000.

The previous prime is 137992243. The next prime is 137992271. The reversal of 137992250 is 52299731.

137992250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1379922502 = 38083722120125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992681 + ... + 992819.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2137992250 is an apocalyptic number.

137992250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137992250 is an abundant number, since it is smaller than the sum of its proper divisors (161565190).

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

137992250 is a wasteful number, since it uses less digits than its factorization.

137992250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 137992250 is about 11747.0102579337. The cubic root of 137992250 is about 516.7552513157.

The spelling of 137992250 in words is "one hundred thirty-seven million, nine hundred ninety-two thousand, two hundred fifty".

Divisors: 1 2 5 10 11 19 22 25 38 50 55 95 110 125 139 190 209 250 275 278 361 418 475 550 695 722 950 1045 1375 1390 1529 1805 2090 2375 2641 2750 3058 3475 3610 3971 4750 5225 5282 6950 7645 7942 9025 10450 13205 15290 17375 18050 19855 26125 26410 29051 34750 38225 39710 45125 50179 52250 58102 66025 76450 90250 99275 100358 132050 145255 191125 198550 250895 290510 330125 382250 496375 501790 551969 660250 726275 992750 1103938 1254475 1452550 2508950 2759845 3631375 5519690 6272375 7262750 12544750 13799225 27598450 68996125 137992250