Search a number
-
+
137255446000 = 2453388117683
BaseRepresentation
bin111111111010100001…
…1111110010111110000
3111010021120100002110001
41333311003332113300
54222044343233000
6143015420315344
712626214020101
oct1776503762760
9433246302401
10137255446000
11532341370a2
12227266a2b54
13cc350a8c4a
146900d1c3a8
153884cda46a
hex1ff50fe5f0

137255446000 has 80 divisors (see below), whose sum is σ = 331987956768. Its totient is φ = 54884928000.

The previous prime is 137255445989. The next prime is 137255446007. The reversal of 137255446000 is 644552731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137255446007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7753159 + ... + 7770841.

Almost surely, 2137255446000 is an apocalyptic number.

137255446000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137255446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165993978384).

137255446000 is an abundant number, since it is smaller than the sum of its proper divisors (194732510768).

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

137255446000 is a wasteful number, since it uses less digits than its factorization.

137255446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21587 (or 21571 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

Adding to 137255446000 its reverse (644552731), we get a palindrome (137899998731).

The spelling of 137255446000 in words is "one hundred thirty-seven billion, two hundred fifty-five million, four hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3881 7762 15524 17683 19405 31048 35366 38810 62096 70732 77620 88415 97025 141464 155240 176830 194050 282928 310480 353660 388100 442075 485125 707320 776200 884150 970250 1414640 1552400 1768300 1940500 2210375 3536600 3881000 4420750 7073200 7762000 8841500 17683000 35366000 68627723 137255446 274510892 343138615 549021784 686277230 1098043568 1372554460 1715693075 2745108920 3431386150 5490217840 6862772300 8578465375 13725544600 17156930750 27451089200 34313861500 68627723000 137255446000