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137886040 = 23519397457
BaseRepresentation
bin10000011011111…
…11100101011000
3100121110100002101
420031333211120
5240244323130
621403213144
73263004055
oct1015774530
9317410071
10137886040
1170918906
123a2171b4
132274a096
141445402c
15c18a1ca
hex837f958

137886040 has 64 divisors (see below), whose sum is σ = 328111200. Its totient is φ = 52005888.

The previous prime is 137886037. The next prime is 137886043. The reversal of 137886040 is 40688731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137886037) and next prime (137886043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137886043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301492 + ... + 301948.

Almost surely, 2137886040 is an apocalyptic number.

137886040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137886040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164055600).

137886040 is an abundant number, since it is smaller than the sum of its proper divisors (190225160).

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

137886040 is a wasteful number, since it uses less digits than its factorization.

137886040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 137886040 is about 11742.4886629709. The cubic root of 137886040 is about 516.6226384034.

The spelling of 137886040 in words is "one hundred thirty-seven million, eight hundred eighty-six thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 397 457 760 794 914 1588 1828 1985 2285 3176 3656 3970 4570 7543 7940 8683 9140 15086 15880 17366 18280 30172 34732 37715 43415 60344 69464 75430 86830 150860 173660 181429 301720 347320 362858 725716 907145 1451432 1814290 3447151 3628580 6894302 7257160 13788604 17235755 27577208 34471510 68943020 137886040