Search a number
-
+
137375244000 = 2533531966947
BaseRepresentation
bin111111111110000110…
…0111101111011100000
3111010120220202110102000
41333330030331323200
54222321030302000
6143035340124000
712632200210311
oct1777414757340
9433526673360
10137375244000
1153295820105
122275a836600
13cc53b61c37
146912bc4608
1538905a1000
hex1ffc33dee0

137375244000 has 384 divisors, whose sum is σ = 526371955200. Its totient is φ = 34704806400.

The previous prime is 137375243969. The next prime is 137375244023. The reversal of 137375244000 is 442573731.

137375244000 is a `hidden beast` number, since 137 + 37 + 52 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2018527 + ... + 2085473.

It is an arithmetic number, because the mean of its divisors is an integer number (1370760300).

Almost surely, 2137375244000 is an apocalyptic number.

137375244000 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 137375244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263185977600).

137375244000 is an abundant number, since it is smaller than the sum of its proper divisors (388996711200).

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

137375244000 is a wasteful number, since it uses less digits than its factorization.

137375244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67000 (or 66976 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 137375244000 in words is "one hundred thirty-seven billion, three hundred seventy-five million, two hundred forty-four thousand".