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137199048 = 23372335507
BaseRepresentation
bin10000010110101…
…11110111001000
3100120011102201020
420023113313020
5240110332143
621340352440
73254113140
oct1013276710
9316142636
10137199048
1170499748
1239b45720
132256948c
1414315920
15c0a1883
hex82d7dc8

137199048 has 64 divisors (see below), whose sum is σ = 409052160. Its totient is φ = 37494336.

The previous prime is 137199043. The next prime is 137199067. The reversal of 137199048 is 840991731.

It is a happy number.

137199048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (137199043) 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, 13890 + ... + 21617.

It is an arithmetic number, because the mean of its divisors is an integer number (6391440).

Almost surely, 2137199048 is an apocalyptic number.

It is an amenable number.

137199048 is an abundant number, since it is smaller than the sum of its proper divisors (271853112).

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

137199048 is a wasteful number, since it uses less digits than its factorization.

137199048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35546 (or 35542 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 137199048 is about 11713.1997336338. The cubic root of 137199048 is about 515.7632168824.

The spelling of 137199048 in words is "one hundred thirty-seven million, one hundred ninety-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 35507 71014 106521 142028 213042 248549 284056 426084 497098 745647 816661 852168 994196 1491294 1633322 1988392 2449983 2982588 3266644 4899966 5716627 5965176 6533288 9799932 11433254 17149881 19599864 22866508 34299762 45733016 68599524 137199048