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137461016 = 23711223151
BaseRepresentation
bin10000011000101…
…11110100011000
3100120122202001202
420030113310120
5240142223031
621350133332
73256253660
oct1014276430
9316582052
10137461016
1170658550
123a051248
132262b7a4
14143831a0
15c1042cb
hex8317d18

137461016 has 32 divisors (see below), whose sum is σ = 321338880. Its totient is φ = 53556000.

The previous prime is 137461013. The next prime is 137461033. The reversal of 137461016 is 610164731.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137461016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137461013) 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, 110960 + ... + 112191.

It is an arithmetic number, because the mean of its divisors is an integer number (10041840).

Almost surely, 2137461016 is an apocalyptic number.

It is an amenable number.

137461016 is an abundant number, since it is smaller than the sum of its proper divisors (183877864).

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

137461016 is a wasteful number, since it uses less digits than its factorization.

137461016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223175 (or 223171 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 137461016 is about 11724.3769983739. The cubic root of 137461016 is about 516.0912744412.

The spelling of 137461016 in words is "one hundred thirty-seven million, four hundred sixty-one thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 223151 446302 892604 1562057 1785208 2454661 3124114 4909322 6248228 9818644 12496456 17182627 19637288 34365254 68730508 137461016