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137027550 = 23521183047
BaseRepresentation
bin10000010101011…
…01111111011110
3100112211201110110
420022231333132
5240034340200
621332550450
73252500142
oct1012557736
9315751413
10137027550
1170391910
1239a82426
13225093ba
14142ad222
15c06ab50
hex82adfde

137027550 has 48 divisors (see below), whose sum is σ = 370726272. Its totient is φ = 33218400.

The previous prime is 137027507. The next prime is 137027551. The reversal of 137027550 is 55720731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137027551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39874 + ... + 43173.

It is an arithmetic number, because the mean of its divisors is an integer number (7723464).

Almost surely, 2137027550 is an apocalyptic number.

137027550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137027550 is an abundant number, since it is smaller than the sum of its proper divisors (233698722).

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

137027550 is a wasteful number, since it uses less digits than its factorization.

137027550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83073 (or 83068 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 137027550 is about 11705.8767292331. The cubic root of 137027550 is about 515.5482269534.

It can be divided in two parts, 1370 and 27550, that added together give a triangular number (28920 = T240).

The spelling of 137027550 in words is "one hundred thirty-seven million, twenty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 83047 166094 249141 415235 498282 830470 913517 1245705 1827034 2076175 2491410 2740551 4152350 4567585 5481102 6228525 9135170 12457050 13702755 22837925 27405510 45675850 68513775 137027550