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137000024 = 2374159669
BaseRepresentation
bin10000010101001…
…11010001011000
3100112210022200222
420022213101120
5240033000044
621332215212
73252323660
oct1012472130
9315708628
10137000024
1170373167
1239a6a508
13224c9a05
14142a31a0
15c0628ee
hex82a7458

137000024 has 32 divisors (see below), whose sum is σ = 300736800. Its totient is φ = 57281280.

The previous prime is 137000009. The next prime is 137000027. The reversal of 137000024 is 420000731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 136999966 and 137000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137000027) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27539 + ... + 32130.

It is an arithmetic number, because the mean of its divisors is an integer number (9398025).

Almost surely, 2137000024 is an apocalyptic number.

137000024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137000024 is an abundant number, since it is smaller than the sum of its proper divisors (163736776).

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

137000024 is a wasteful number, since it uses less digits than its factorization.

137000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59723 (or 59719 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 137000024 is about 11704.7009359488. The cubic root of 137000024 is about 515.5137036506.

Adding to 137000024 its reverse (420000731), we get a palindrome (557000755).

The spelling of 137000024 in words is "one hundred thirty-seven million, twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 59669 119338 238676 417683 477352 835366 1670732 2446429 3341464 4892858 9785716 17125003 19571432 34250006 68500012 137000024