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137403108 = 22331916661
BaseRepresentation
bin10000011000010…
…01101011100100
3100120112210122000
420030021223210
5240133344413
621345005300
73255623103
oct1014115344
9316483560
10137403108
1170618a97
123a023830
132260b31b
141436a03a
15c0e2073
hex8309ae4

137403108 has 48 divisors (see below), whose sum is σ = 358149120. Its totient is φ = 45554400.

The previous prime is 137403053. The next prime is 137403109. The reversal of 137403108 is 801304731.

It is a super-2 number, since 2×1374031082 = 37759228176119328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (137403109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17298 + ... + 23958.

It is an arithmetic number, because the mean of its divisors is an integer number (7461440).

Almost surely, 2137403108 is an apocalyptic number.

137403108 is a gapful number since it is divisible by the number (18) 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 137403108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179074560).

137403108 is an abundant number, since it is smaller than the sum of its proper divisors (220746012).

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

137403108 is a wasteful number, since it uses less digits than its factorization.

137403108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137403108 is about 11721.9071827071. The cubic root of 137403108 is about 516.0187932582.

Adding to 137403108 its reverse (801304731), we get a palindrome (938707839).

The spelling of 137403108 in words is "one hundred thirty-seven million, four hundred three thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 1146 1719 2292 3438 5157 6661 6876 10314 13322 19983 20628 26644 39966 59949 79932 119898 179847 239796 359694 719388 1272251 2544502 3816753 5089004 7633506 11450259 15267012 22900518 34350777 45801036 68701554 137403108