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145137927 = 3112472181
BaseRepresentation
bin10001010011010…
…10000100000111
3101010002202210210
420221222010013
5244123403202
622222450503
73411436434
oct1051520407
9333082723
10145137927
1174a21300
1240733a33
13240b8b3c
14153c0b8b
15cb1dc6c
hex8a6a107

145137927 has 36 divisors (see below), whose sum is σ = 218531768. Its totient is φ = 85615200.

The previous prime is 145137919. The next prime is 145137947. The reversal of 145137927 is 729731541.

It is not a de Polignac number, because 145137927 - 23 = 145137919 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145137947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 801777 + ... + 801957.

Almost surely, 2145137927 is an apocalyptic number.

145137927 is a deficient number, since it is larger than the sum of its proper divisors (73393841).

145137927 is a wasteful number, since it uses less digits than its factorization.

145137927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 242 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 145137927 is about 12047.3203244539. The cubic root of 145137927 is about 525.5253118425.

The spelling of 145137927 in words is "one hundred forty-five million, one hundred thirty-seven thousand, nine hundred twenty-seven".

Divisors: 1 3 11 33 47 121 141 181 363 517 543 1551 1991 2209 5687 5973 6627 8507 17061 21901 24299 25521 65703 72897 93577 267289 280731 399829 801867 1029347 1199487 3088041 4398119 13194357 48379309 145137927