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137522420 = 2257320047
BaseRepresentation
bin10000011001001…
…10110011110100
3100120202212021222
420030212303310
5240201204140
621351325512
73256631000
oct1014466364
9316685258
10137522420
117069a6a2
123a080898
1322650719
141439b700
15c1175b5
hex8326cf4

137522420 has 48 divisors (see below), whose sum is σ = 336806400. Its totient is φ = 47148192.

The previous prime is 137522419. The next prime is 137522431. The reversal of 137522420 is 24225731.

It is a self number, because there is not a number n which added to its sum of digits gives 137522420.

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, 3164 + ... + 16883.

It is an arithmetic number, because the mean of its divisors is an integer number (7016800).

Almost surely, 2137522420 is an apocalyptic number.

137522420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137522420 is an abundant number, since it is smaller than the sum of its proper divisors (199283980).

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

137522420 is a wasteful number, since it uses less digits than its factorization.

137522420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20077 (or 20061 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 137522420 is about 11726.9953526042. The cubic root of 137522420 is about 516.1681091978.

The spelling of 137522420 in words is "one hundred thirty-seven million, five hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 20047 40094 80188 100235 140329 200470 280658 400940 561316 701645 982303 1403290 1964606 2806580 3929212 4911515 6876121 9823030 13752242 19646060 27504484 34380605 68761210 137522420