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137615381085 = 35721314402447
BaseRepresentation
bin1000000000101010000…
…1000001001001011101
3111011012122121200120010
42000022201001021131
54223314014143320
6143115235113433
712641144303400
oct2001241011135
9434178550503
10137615381085
11533a9327706
1222807142879
13cc918302a0
146936a53d37
1538a66d7ae0
hex200a84125d

137615381085 has 48 divisors (see below), whose sum is σ = 275835684096. Its totient is φ = 58070662272.

The previous prime is 137615381077. The next prime is 137615381119. The reversal of 137615381085 is 580183516731.

It is not a de Polignac number, because 137615381085 - 23 = 137615381077 is a prime.

It is a super-2 number, since 2×1376153810852 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7191669 + ... + 7210778.

It is an arithmetic number, because the mean of its divisors is an integer number (5746576752).

Almost surely, 2137615381085 is an apocalyptic number.

137615381085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137615381085 is an abundant number, since it is smaller than the sum of its proper divisors (138220303011).

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

137615381085 is a wasteful number, since it uses less digits than its factorization.

137615381085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14402482 (or 14402475 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 137615381085 in words is "one hundred thirty-seven billion, six hundred fifteen million, three hundred eighty-one thousand, eighty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9555 14402447 43207341 72012235 100817129 187231811 216036705 302451387 504085645 561695433 705719903 936159055 1310622677 1512256935 2117159709 2808477165 3528599515 3931868031 6553113385 9174358739 10585798545 19659340155 27523076217 45871793695 137615381085