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137446303086 = 233101109123099
BaseRepresentation
bin1000000000000001110…
…0000010010101101110
3111010202212110122011000
42000000130002111232
54222442223144321
6143050355141130
712634022204541
oct2000034022556
9433685418130
10137446303086
1153321944924
122277a5a47a6
13cc657b1831
14691c400858
15389693a826
hex200070256e

137446303086 has 64 divisors (see below), whose sum is σ = 308756448000. Its totient is φ = 45318276000.

The previous prime is 137446303021. The next prime is 137446303117. The reversal of 137446303086 is 680303644731.

137446303086 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 4 + 630 + 3 + 0 + 8 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5938765 + ... + 5961863.

It is an arithmetic number, because the mean of its divisors is an integer number (4824319500).

Almost surely, 2137446303086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137446303086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154378224000).

137446303086 is an abundant number, since it is smaller than the sum of its proper divisors (171310144914).

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

137446303086 is a wasteful number, since it uses less digits than its factorization.

137446303086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24302 (or 24296 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 137446303086 in words is "one hundred thirty-seven billion, four hundred forty-six million, three hundred three thousand, eighty-six".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1091 1818 2182 2727 3273 5454 6546 9819 19638 23099 29457 46198 58914 69297 110191 138594 207891 220382 330573 415782 623673 661146 991719 1247346 1983438 2332999 2975157 4665998 5950314 6998997 13997994 20996991 25201009 41993982 50402018 62990973 75603027 125981946 151206054 226809081 453618162 680427243 1360854486 2545301909 5090603818 7635905727 15271811454 22907717181 45815434362 68723151543 137446303086