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137352813 = 3133521867
BaseRepresentation
bin10000010111111…
…01011001101101
3100120110020122020
420023331121231
5240130242223
621343540353
73255323343
oct1013753155
9316406566
10137352813
1170594224
1239bba6b9
13225c1470
1414355993
15c0d21e3
hex82fd66d

137352813 has 8 divisors (see below), whose sum is σ = 197224608. Its totient is φ = 84524784.

The previous prime is 137352811. The next prime is 137352823. The reversal of 137352813 is 318253731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137352813 - 21 = 137352811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137352811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1760895 + ... + 1760972.

It is an arithmetic number, because the mean of its divisors is an integer number (24653076).

Almost surely, 2137352813 is an apocalyptic number.

137352813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137352813 is a deficient number, since it is larger than the sum of its proper divisors (59871795).

137352813 is a wasteful number, since it uses less digits than its factorization.

137352813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521883.

The product of its digits is 15120, while the sum is 33.

The square root of 137352813 is about 11719.7616443339. The cubic root of 137352813 is about 515.9558244436.

The spelling of 137352813 in words is "one hundred thirty-seven million, three hundred fifty-two thousand, eight hundred thirteen".

Divisors: 1 3 13 39 3521867 10565601 45784271 137352813