Search a number
-
+
137443115008 = 21537113363
BaseRepresentation
bin1000000000000000111…
…1111000000000000000
3111010202122110122221001
42000000033320000000
54222440414140013
6143050202541344
712633653126053
oct2000017700000
9433678418831
10137443115008
1153320067651
1222779507854
13cc64c366b4
14691bc10a9a
15389650addd
hex20003f8000

137443115008 has 64 divisors (see below), whose sum is σ = 282313770120. Its totient is φ = 66863628288.

The previous prime is 137443114999. The next prime is 137443115009. The reversal of 137443115008 is 800511344731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137443115009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1155735 + ... + 1269097.

Almost surely, 2137443115008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137443115008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141156885060).

137443115008 is an abundant number, since it is smaller than the sum of its proper divisors (144870655112).

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

137443115008 is an frugal number, since it uses more digits than its factorization.

137443115008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113430 (or 113402 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

Adding to 137443115008 its reverse (800511344731), we get a palindrome (937954459739).

The spelling of 137443115008 in words is "one hundred thirty-seven billion, four hundred forty-three million, one hundred fifteen thousand, eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 4096 4736 8192 9472 16384 18944 32768 37888 75776 113363 151552 226726 303104 453452 606208 906904 1212416 1813808 3627616 4194431 7255232 8388862 14510464 16777724 29020928 33555448 58041856 67110896 116083712 134221792 232167424 268443584 464334848 536887168 928669696 1073774336 1857339392 2147548672 3714678784 4295097344 8590194688 17180389376 34360778752 68721557504 137443115008