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137225352 = 23311519793
BaseRepresentation
bin10000010110111…
…10010010001000
3100120012202210110
420023132102020
5240112202402
621341114320
73254252625
oct1013362210
9316182713
10137225352
1170507490
1239b589a0
1322578444
141432134c
15c0a956c
hex82de488

137225352 has 32 divisors (see below), whose sum is σ = 374251680. Its totient is φ = 41583360.

The previous prime is 137225351. The next prime is 137225369. The reversal of 137225352 is 253522731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137225351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259633 + ... + 260160.

It is an arithmetic number, because the mean of its divisors is an integer number (11695365).

Almost surely, 2137225352 is an apocalyptic number.

137225352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137225352 is an abundant number, since it is smaller than the sum of its proper divisors (237026328).

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

137225352 is a wasteful number, since it uses less digits than its factorization.

137225352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519813 (or 519809 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 137225352 is about 11714.3225156216. The cubic root of 137225352 is about 515.7961757329.

The spelling of 137225352 in words is "one hundred thirty-seven million, two hundred twenty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 519793 1039586 1559379 2079172 3118758 4158344 5717723 6237516 11435446 12475032 17153169 22870892 34306338 45741784 68612676 137225352