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137486140 = 225111736761
BaseRepresentation
bin10000011000111…
…01111100111100
3100120201000112021
420030131330330
5240144024030
621350445524
73256420141
oct1014357474
9316630467
10137486140
1170675410
123a0638a4
132263a05c
141438c3c8
15c10b97a
hex831df3c

137486140 has 48 divisors (see below), whose sum is σ = 333504864. Its totient is φ = 47052800.

The previous prime is 137486137. The next prime is 137486171. The reversal of 137486140 is 41684731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 137486096 and 137486105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14641 + ... + 22120.

It is an arithmetic number, because the mean of its divisors is an integer number (6948018).

Almost surely, 2137486140 is an apocalyptic number.

137486140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137486140 is an abundant number, since it is smaller than the sum of its proper divisors (196018724).

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

137486140 is a wasteful number, since it uses less digits than its factorization.

137486140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36798 (or 36796 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 137486140 is about 11725.4483922791. The cubic root of 137486140 is about 516.1227148395.

The spelling of 137486140 in words is "one hundred thirty-seven million, four hundred eighty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 36761 73522 147044 183805 367610 404371 624937 735220 808742 1249874 1617484 2021855 2499748 3124685 4043710 6249370 6874307 8087420 12498740 13748614 27497228 34371535 68743070 137486140