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137079228 = 22311131737127
BaseRepresentation
bin10000010101110…
…10100110111100
3100112221100100110
420022322212330
5240043013403
621334030020
73253103616
oct1012724674
9315840313
10137079228
1170417720
1239aa8310
1322526a90
14142c3db6
15c07b103
hex82ba9bc

137079228 has 192 divisors, whose sum is σ = 411844608. Its totient is φ = 34836480.

The previous prime is 137079223. The next prime is 137079233. The reversal of 137079228 is 822970731.

137079228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137079223) and next prime (137079233).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137079223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1079301 + ... + 1079427.

It is an arithmetic number, because the mean of its divisors is an integer number (2145024).

Almost surely, 2137079228 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 137079228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205922304).

137079228 is an abundant number, since it is smaller than the sum of its proper divisors (274765380).

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

137079228 is a wasteful number, since it uses less digits than its factorization.

137079228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 137079228 is about 11708.0838739736. The cubic root of 137079228 is about 515.6130293787.

The spelling of 137079228 in words is "one hundred thirty-seven million, seventy-nine thousand, two hundred twenty-eight".