Search a number
-
+
137570807808 = 2123371947199
BaseRepresentation
bin1000000000011111011…
…0111111000000000000
3111011002112202010112000
42000013312333000000
54223221111322213
6143111003504000
712640063400220
oct2000766770000
9434075663460
10137570807808
1153386153095
12227b4228000
13cc85524c75
146930b70080
1538a2830c73
hex2007dbf000

137570807808 has 832 divisors, whose sum is σ = 503255040000. Its totient is φ = 36261789696.

The previous prime is 137570807797. The next prime is 137570807831. The reversal of 137570807808 is 808708075731.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691310493 + ... + 691310691.

Almost surely, 2137570807808 is an apocalyptic number.

137570807808 is a gapful number since it is divisible by the number (18) 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 137570807808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251627520000).

137570807808 is an abundant number, since it is smaller than the sum of its proper divisors (365684232192).

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

137570807808 is a wasteful number, since it uses less digits than its factorization.

137570807808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 137570807808 in words is "one hundred thirty-seven billion, five hundred seventy million, eight hundred seven thousand, eight hundred eight".