137533068 has 18 divisors (see below), whose sum is σ = 347653124. Its totient is φ = 45844344.

The previous prime is 137533061. The next prime is 137533093. The reversal of 137533068 is 860335731.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3820363 = 137533068 / (1 + 3 + 7 + 5 + 3 + 3 + 0 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (137533061) 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 5 ways as a sum of consecutive naturals, for example, 1910146 + ... + 1910217.

Almost surely, 2^137533068 is an apocalyptic number.

137533068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137533068 is an abundant number, since it is smaller than the sum of its proper divisors (210120056).

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

137533068 is a wasteful number, since it uses less digits than its factorization.

137533068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820373 (or 3820368 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 137533068 is about 11727.4493390507. The cubic root of 137533068 is about 516.1814307012.

Adding to 137533068 its reverse (860335731), we get a palindrome (997868799).

It can be divided in two parts, 1375 and 33068, that added together give a palindrome (34443).

The spelling of 137533068 in words is "one hundred thirty-seven million, five hundred thirty-three thousand, sixty-eight".