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137582513285 = 5737281378083
BaseRepresentation
bin1000000000100010001…
…1101000110010000101
3111011010100202211102012
42000020203220302011
54223232110411120
6143112102424005
712640265032040
oct2001043506205
9434110684365
10137582513285
1153391818638
12227b8132005
13cc87a92b99
146932539c57
1538a38941c5
hex20088e8c85

137582513285 has 32 divisors (see below), whose sum is σ = 194474310912. Its totient is φ = 91465597440.

The previous prime is 137582513227. The next prime is 137582513287. The reversal of 137582513285 is 582315285731.

It is a happy number.

It is not a de Polignac number, because 137582513285 - 210 = 137582512261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137582513287) 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, 174854 + ... + 552936.

It is an arithmetic number, because the mean of its divisors is an integer number (6077322216).

Almost surely, 2137582513285 is an apocalyptic number.

It is an amenable number.

137582513285 is a deficient number, since it is larger than the sum of its proper divisors (56891797627).

137582513285 is a wasteful number, since it uses less digits than its factorization.

137582513285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378413.

The product of its digits is 2016000, while the sum is 50.

The spelling of 137582513285 in words is "one hundred thirty-seven billion, five hundred eighty-two million, five hundred thirteen thousand, two hundred eighty-five".

Divisors: 1 5 7 35 37 185 259 281 1295 1405 1967 9835 10397 51985 72779 363895 378083 1890415 2646581 13232905 13989071 69945355 97923497 106241323 489617485 531206615 743689261 3718446305 3930928951 19654644755 27516502657 137582513285