Search a number
-
+
137316556608 = 26371147197621
BaseRepresentation
bin111111111100010110…
…1000101111101000000
3111010102211022211102220
41333320231011331000
54222211014302413
6143025442211040
712630555321120
oct1777055057500
9433384284386
10137316556608
1153265686430
1222743053a80
13cc4495457a
1469090a8c80
15388a35c223
hex1ff8b45f40

137316556608 has 224 divisors, whose sum is σ = 462606225408. Its totient is φ = 34907596800.

The previous prime is 137316556589. The next prime is 137316556613. The reversal of 137316556608 is 806655613731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 596038 + ... + 793658.

Almost surely, 2137316556608 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 137316556608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231303112704).

137316556608 is an abundant number, since it is smaller than the sum of its proper divisors (325289668800).

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

137316556608 is a wasteful number, since it uses less digits than its factorization.

137316556608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197701 (or 197691 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 137316556608 in words is "one hundred thirty-seven billion, three hundred sixteen million, five hundred fifty-six thousand, six hundred eight".