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137137335 = 3531294919
BaseRepresentation
bin10000010110010…
…00110010110111
3100120001022001120
420023020302313
5240101343320
621335155023
73253435206
oct1013106267
9316038046
10137137335
1170457345
1239b15a73
132254736a
14142db23d
15c08d440
hex82c8cb7

137137335 has 16 divisors (see below), whose sum is σ = 226498560. Its totient is φ = 70780320.

The previous prime is 137137327. The next prime is 137137349. The reversal of 137137335 is 533731731.

It is not a de Polignac number, because 137137335 - 23 = 137137327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137137296 and 137137305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146995 + ... + 147924.

It is an arithmetic number, because the mean of its divisors is an integer number (14156160).

Almost surely, 2137137335 is an apocalyptic number.

137137335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137137335 is a deficient number, since it is larger than the sum of its proper divisors (89361225).

137137335 is a wasteful number, since it uses less digits than its factorization.

137137335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294958.

The product of its digits is 19845, while the sum is 33.

The square root of 137137335 is about 11710.5651016507. The cubic root of 137137335 is about 515.6858740986.

The spelling of 137137335 in words is "one hundred thirty-seven million, one hundred thirty-seven thousand, three hundred thirty-five".

Divisors: 1 3 5 15 31 93 155 465 294919 884757 1474595 4423785 9142489 27427467 45712445 137137335