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137321232 = 24310726737
BaseRepresentation
bin10000010111101…
…01101100010000
3100120101122022120
420023311230100
5240123234412
621343134240
73255132306
oct1013655420
9316348276
10137321232
1170572524
1239ba4380
13225acc89
1414348276
15c0c7b8c
hex82f5b10

137321232 has 40 divisors (see below), whose sum is σ = 358075296. Its totient is φ = 45344256.

The previous prime is 137321213. The next prime is 137321243. The reversal of 137321232 is 232123731.

137321232 is digitally balanced in base 3, 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8233 + ... + 18504.

Almost surely, 2137321232 is an apocalyptic number.

137321232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137321232 is an abundant number, since it is smaller than the sum of its proper divisors (220754064).

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

137321232 is a wasteful number, since it uses less digits than its factorization.

137321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26855 (or 26849 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 137321232 is about 11718.4142271896. The cubic root of 137321232 is about 515.9162775048.

Adding to 137321232 its reverse (232123731), we get a palindrome (369444963).

The spelling of 137321232 in words is "one hundred thirty-seven million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 26737 53474 80211 106948 160422 213896 320844 427792 641688 1283376 2860859 5721718 8582577 11443436 17165154 22886872 34330308 45773744 68660616 137321232