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137014248 = 23371375953
BaseRepresentation
bin10000010101010…
…10101111101000
3100112211001012210
420022222233220
5240033423443
621332405120
73252413310
oct1012525750
9315731183
10137014248
1170382918
1239a767a0
1322503327
14142a8440
15c066c33
hex82aabe8

137014248 has 64 divisors (see below), whose sum is σ = 394392960. Its totient is φ = 38854656.

The previous prime is 137014247. The next prime is 137014253. The reversal of 137014248 is 842410731.

It is not an unprimeable number, because it can be changed into a prime (137014247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20040 + ... + 25992.

It is an arithmetic number, because the mean of its divisors is an integer number (6162390).

Almost surely, 2137014248 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 137014248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197196480).

137014248 is an abundant number, since it is smaller than the sum of its proper divisors (257378712).

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

137014248 is a wasteful number, since it uses less digits than its factorization.

137014248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 137014248 is about 11705.3085392911. The cubic root of 137014248 is about 515.5315440688.

Adding to 137014248 its reverse (842410731), we get a palindrome (979424979).

The spelling of 137014248 in words is "one hundred thirty-seven million, fourteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1644 1918 2877 3288 3836 5754 5953 7672 11508 11906 17859 23016 23812 35718 41671 47624 71436 83342 125013 142872 166684 250026 333368 500052 815561 1000104 1631122 2446683 3262244 4893366 5708927 6524488 9786732 11417854 17126781 19573464 22835708 34253562 45671416 68507124 137014248