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137964801 = 3133537559
BaseRepresentation
bin10000011100100…
…10110100000001
3100121121100010110
420032102310001
5240304333201
621405021533
73263452512
oct1016226401
9317540113
10137964801
1170971aa7
123a2548a9
1322776ba0
1414474a09
15c1a36d6
hex8392d01

137964801 has 8 divisors (see below), whose sum is σ = 198103360. Its totient is φ = 84901392.

The previous prime is 137964793. The next prime is 137964811. The reversal of 137964801 is 108469731.

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

It is not a de Polignac number, because 137964801 - 23 = 137964793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 3537559 = 137964801 / (1 + 3 + 7 + 9 + 6 + 4 + 8 + 0 + 1).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137964801.

It is not an unprimeable number, because it can be changed into a prime (137964811) 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, 1768741 + ... + 1768818.

It is an arithmetic number, because the mean of its divisors is an integer number (24762920).

Almost surely, 2137964801 is an apocalyptic number.

It is an amenable number.

137964801 is a deficient number, since it is larger than the sum of its proper divisors (60138559).

137964801 is a wasteful number, since it uses less digits than its factorization.

137964801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537575.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 137964801 is about 11745.8418599945. The cubic root of 137964801 is about 516.7209852476.

The spelling of 137964801 in words is "one hundred thirty-seven million, nine hundred sixty-four thousand, eight hundred one".

Divisors: 1 3 13 39 3537559 10612677 45988267 137964801