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137873190 = 23571350503
BaseRepresentation
bin10000011011111…
…00011100100110
3100121102200110110
420031330130212
5240243420230
621403033450
73262621440
oct1015743446
9317380413
10137873190
117090a194
123a20b886
1322744290
141444d490
15c1864b0
hex837c726

137873190 has 64 divisors (see below), whose sum is σ = 407264256. Its totient is φ = 29089152.

The previous prime is 137873189. The next prime is 137873191. The reversal of 137873190 is 91378731.

It is a happy number.

137873190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137873189) and next prime (137873191).

It is a super-2 number, since 2×1378731902 = 38018033041552200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137873191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22522 + ... + 27981.

It is an arithmetic number, because the mean of its divisors is an integer number (6363504).

Almost surely, 2137873190 is an apocalyptic number.

137873190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137873190 is an abundant number, since it is smaller than the sum of its proper divisors (269391066).

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

137873190 is a wasteful number, since it uses less digits than its factorization.

137873190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50533.

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 137873190 is about 11741.9414919339. The cubic root of 137873190 is about 516.6065893841.

The spelling of 137873190 in words is "one hundred thirty-seven million, eight hundred seventy-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 50503 101006 151509 252515 303018 353521 505030 656539 707042 757545 1060563 1313078 1515090 1767605 1969617 2121126 3282695 3535210 3939234 4595773 5302815 6565390 9191546 9848085 10605630 13787319 19696170 22978865 27574638 45957730 68936595 137873190