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137230842 = 23729307367
BaseRepresentation
bin10000010110111…
…11100111111010
3100120020001022210
420023133213322
5240112341332
621341155550
73254304630
oct1013374772
9316201283
10137230842
1170510621
1239b5bbb6
132257aaa8
1414323350
15c0aaecc
hex82df9fa

137230842 has 64 divisors (see below), whose sum is σ = 326430720. Its totient is φ = 37630656.

The previous prime is 137230837. The next prime is 137230853. The reversal of 137230842 is 248032731.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 373743 + ... + 374109.

It is an arithmetic number, because the mean of its divisors is an integer number (5100480).

Almost surely, 2137230842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137230842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163215360).

137230842 is an abundant number, since it is smaller than the sum of its proper divisors (189199878).

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

137230842 is a wasteful number, since it uses less digits than its factorization.

137230842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 137230842 is about 11714.5568418101. The cubic root of 137230842 is about 515.8030541588.

The spelling of 137230842 in words is "one hundred thirty-seven million, two hundred thirty thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 307 367 406 609 614 734 921 1101 1218 1842 2149 2202 2569 4298 5138 6447 7707 8903 10643 12894 15414 17806 21286 26709 31929 53418 62321 63858 74501 112669 124642 149002 186963 223503 225338 338007 373926 447006 676014 788683 1577366 2366049 3267401 4732098 6534802 9802203 19604406 22871807 45743614 68615421 137230842