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137043414 = 2341276661
BaseRepresentation
bin10000010101100…
…01110111010110
3100112212112020000
420022301313112
5240040342124
621333152130
73252564324
oct1012616726
9315775200
10137043414
11703a2822
1239a8b646
13225136a1
14142b4d14
15c0706c9
hex82b1dd6

137043414 has 40 divisors (see below), whose sum is σ = 309543168. Its totient is φ = 45314640.

The previous prime is 137043383. The next prime is 137043421. The reversal of 137043414 is 414340731.

137043414 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17244 + ... + 23904.

Almost surely, 2137043414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137043414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771584).

137043414 is an abundant number, since it is smaller than the sum of its proper divisors (172499754).

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

137043414 is a wasteful number, since it uses less digits than its factorization.

137043414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6802 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 137043414 is about 11706.5543179879. The cubic root of 137043414 is about 515.5681215938.

The spelling of 137043414 in words is "one hundred thirty-seven million, forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 381 762 1143 2286 3429 6661 6858 10287 13322 19983 20574 39966 59949 119898 179847 359694 539541 845947 1079082 1691894 2537841 5075682 7613523 15227046 22840569 45681138 68521707 137043414