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137069724 = 2231119314143
BaseRepresentation
bin10000010101110…
…00010010011100
3100112220212022110
420022320102130
5240042212344
621333514020
73253034121
oct1012702234
9315825273
10137069724
1170410570
1239aa2910
132252265c
14142c0748
15c0783b9
hex82b849c

137069724 has 192 divisors, whose sum is σ = 397393920. Its totient is φ = 36288000.

The previous prime is 137069717. The next prime is 137069731. The reversal of 137069724 is 427960731.

It is an interprime number because it is at equal distance from previous prime (137069717) and next prime (137069731).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3187647 + ... + 3187689.

It is an arithmetic number, because the mean of its divisors is an integer number (2069760).

Almost surely, 2137069724 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 137069724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198696960).

137069724 is an abundant number, since it is smaller than the sum of its proper divisors (260324196).

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

137069724 is a wasteful number, since it uses less digits than its factorization.

137069724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 137069724 is about 11707.6779935220. The cubic root of 137069724 is about 515.6011129136.

The spelling of 137069724 in words is "one hundred thirty-seven million, sixty-nine thousand, seven hundred twenty-four".