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137848496 = 24192771637
BaseRepresentation
bin10000011011101…
…10011010110000
3100121101102120212
420031312122300
5240242122441
621402323252
73262456442
oct1015663260
9317342525
10137848496
11708a2685
123a1b9528
1322735c76
1414444492
15c17deeb
hex83766b0

137848496 has 40 divisors (see below), whose sum is σ = 282325680. Its totient is φ = 65021184.

The previous prime is 137848493. The next prime is 137848507. The reversal of 137848496 is 694848731.

It is not an unprimeable number, because it can be changed into a prime (137848493) 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 7 ways as a sum of consecutive naturals, for example, 83390 + ... + 85026.

It is an arithmetic number, because the mean of its divisors is an integer number (7058142).

Almost surely, 2137848496 is an apocalyptic number.

137848496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137848496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141162840).

137848496 is an abundant number, since it is smaller than the sum of its proper divisors (144477184).

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

137848496 is a wasteful number, since it uses less digits than its factorization.

137848496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1935 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 137848496 is about 11740.8899151640. The cubic root of 137848496 is about 516.5757449905.

The spelling of 137848496 in words is "one hundred thirty-seven million, eight hundred forty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 277 304 554 1108 1637 2216 3274 4432 5263 6548 10526 13096 21052 26192 31103 42104 62206 84208 124412 248824 453449 497648 906898 1813796 3627592 7255184 8615531 17231062 34462124 68924248 137848496