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137003250 = 2353296299
BaseRepresentation
bin10000010101010…
…00000011110010
3100112210111010110
420022220003302
5240033101000
621332242150
73252336246
oct1012500362
9315714113
10137003250
117037562a
1239a70356
13224cb317
14142a4426
15c063850
hex82a80f2

137003250 has 64 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 35268800.

The previous prime is 137003231. The next prime is 137003297. The reversal of 137003250 is 52300731.

It is a happy number.

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, 18601 + ... + 24899.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2137003250 is an apocalyptic number.

137003250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137003250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

137003250 is an abundant number, since it is smaller than the sum of its proper divisors (216804750).

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

137003250 is a wasteful number, since it uses less digits than its factorization.

137003250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6348 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 137003250 is about 11704.8387430156. The cubic root of 137003250 is about 515.5177499617.

Adding to 137003250 its reverse (52300731), we get a palindrome (189303981).

The spelling of 137003250 in words is "one hundred thirty-seven million, three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 125 145 150 174 250 290 375 435 725 750 870 1450 2175 3625 4350 6299 7250 10875 12598 18897 21750 31495 37794 62990 94485 157475 182671 188970 314950 365342 472425 548013 787375 913355 944850 1096026 1574750 1826710 2362125 2740065 4566775 4724250 5480130 9133550 13700325 22833875 27400650 45667750 68501625 137003250