Search a number
-
+
137216044 = 22717231547
BaseRepresentation
bin10000010110111…
…00000000101100
3100120012022000201
420023130000230
5240111403134
621341003244
73254213530
oct1013340054
9316168021
10137216044
1170500499
1239b53524
1322574134
141431bbc0
15c0a6914
hex82dc02c

137216044 has 72 divisors (see below), whose sum is σ = 301478912. Its totient is φ = 53464320.

The previous prime is 137216041. The next prime is 137216047. The reversal of 137216044 is 440612731.

It is an interprime number because it is at equal distance from previous prime (137216041) and next prime (137216047).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (137216041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250579 + ... + 251125.

Almost surely, 2137216044 is an apocalyptic number.

137216044 is a gapful number since it is divisible by the number (14) 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 137216044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150739456).

137216044 is an abundant number, since it is smaller than the sum of its proper divisors (164262868).

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

137216044 is a wasteful number, since it uses less digits than its factorization.

137216044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 137216044 is about 11713.9252174495. The cubic root of 137216044 is about 515.7845133122.

Adding to 137216044 its reverse (440612731), we get a palindrome (577828775).

The spelling of 137216044 in words is "one hundred thirty-seven million, two hundred sixteen thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 289 434 476 527 547 578 868 1054 1094 1156 2023 2108 2188 3689 3829 4046 7378 7658 8092 8959 9299 14756 15316 16957 17918 18598 33914 35836 37196 62713 65093 67828 118699 125426 130186 158083 237398 250852 260372 288269 316166 474796 576538 632332 1106581 1153076 2017883 2213162 4035766 4426324 4900573 8071532 9801146 19602292 34304011 68608022 137216044