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137442123 = 337133331
BaseRepresentation
bin10000011000100…
…11001101001011
3100120121210011000
420030103031023
5240141121443
621345510043
73256144620
oct1014231513
9316553130
10137442123
1170645335
123a042323
1322623000
141437a347
15c0ed8d3
hex831334b

137442123 has 64 divisors (see below), whose sum is σ = 252851200. Its totient is φ = 72277920.

The previous prime is 137442121. The next prime is 137442131. The reversal of 137442123 is 321244731.

It is a happy number.

It is not a de Polignac number, because 137442123 - 21 = 137442121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (137442121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415068 + ... + 415398.

It is an arithmetic number, because the mean of its divisors is an integer number (3950800).

Almost surely, 2137442123 is an apocalyptic number.

137442123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

137442123 is a deficient number, since it is larger than the sum of its proper divisors (115409077).

137442123 is an equidigital number, since it uses as much as digits as its factorization.

137442123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 354 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 137442123 is about 11723.5712562342. The cubic root of 137442123 is about 516.0676290483.

Adding to 137442123 its reverse (321244731), we get a palindrome (458686854).

The spelling of 137442123 in words is "one hundred thirty-seven million, four hundred forty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 169 189 273 331 351 507 819 993 1183 1521 2197 2317 2457 2979 3549 4303 4563 6591 6951 8937 10647 12909 15379 19773 20853 30121 31941 38727 46137 55939 59319 62559 90363 116181 138411 167817 271089 391573 415233 503451 727207 813267 1174719 1510353 2181621 3524157 5090449 6544863 10572471 15271347 19634589 45814041 137442123