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137857296 = 2432872027
BaseRepresentation
bin10000011011110…
…00100100010000
3100121101212122210
420031320210100
5240242413141
621402432120
73262524213
oct1015704420
9317355583
10137857296
11708a9255
123a202640
1322739c85
141444777a
15c181916
hex8378910

137857296 has 20 divisors (see below), whose sum is σ = 356131472. Its totient is φ = 45952416.

The previous prime is 137857289. The next prime is 137857303. The reversal of 137857296 is 692758731.

It is an interprime number because it is at equal distance from previous prime (137857289) and next prime (137857303).

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 2872027 = 137857296 / (1 + 3 + 7 + 8 + 5 + 7 + 2 + 9 + 6).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1435966 + ... + 1436061.

Almost surely, 2137857296 is an apocalyptic number.

137857296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137857296 is an abundant number, since it is smaller than the sum of its proper divisors (218274176).

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

137857296 is a wasteful number, since it uses less digits than its factorization.

137857296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872038 (or 2872032 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 137857296 is about 11741.2646678286. The cubic root of 137857296 is about 516.5867371787.

The spelling of 137857296 in words is "one hundred thirty-seven million, eight hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 2872027 5744054 8616081 11488108 17232162 22976216 34464324 45952432 68928648 137857296