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137701949 = 71119611543
BaseRepresentation
bin10000011010100…
…10101000111101
3100121002222120012
420031102220331
5240222430244
621355233005
73261306260
oct1015225075
9317088505
10137701949
1170802570
123a148765
13226b4358
1414406cd7
15c15089e
hex8352a3d

137701949 has 32 divisors (see below), whose sum is σ = 183797760. Its totient is φ = 99921600.

The previous prime is 137701939. The next prime is 137701961. The reversal of 137701949 is 949107731.

It is a cyclic number.

It is not a de Polignac number, because 137701949 - 212 = 137697853 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137701919) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 88472 + ... + 90014.

It is an arithmetic number, because the mean of its divisors is an integer number (5743680).

Almost surely, 2137701949 is an apocalyptic number.

137701949 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

137701949 is a deficient number, since it is larger than the sum of its proper divisors (46095811).

137701949 is a wasteful number, since it uses less digits than its factorization.

137701949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641.

The product of its (nonzero) digits is 47628, while the sum is 41.

The square root of 137701949 is about 11734.6473743355. The cubic root of 137701949 is about 516.3926225280.

The spelling of 137701949 in words is "one hundred thirty-seven million, seven hundred one thousand, nine hundred forty-nine".

Divisors: 1 7 11 19 61 77 133 209 427 671 1159 1463 1543 4697 8113 10801 12749 16973 29317 89243 94123 118811 205219 322487 658861 1035353 1788337 2257409 7247471 12518359 19671707 137701949