137523006 has 48 divisors (see below), whose sum is σ = 315938688. Its totient is φ = 43156800.

The previous prime is 137522993. The next prime is 137523019. The reversal of 137523006 is 600325731.

It is a happy number.

137523006 is a `hidden beast` number, since 137 + 523 + 0 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (137522993) and next prime (137523019).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17316 + ... + 23976.

It is an arithmetic number, because the mean of its divisors is an integer number (6582056).

Almost surely, 2^137523006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137523006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157969344).

137523006 is an abundant number, since it is smaller than the sum of its proper divisors (178415682).

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

137523006 is a wasteful number, since it uses less digits than its factorization.

137523006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6734 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 137523006 is about 11727.0203376646. The cubic root of 137523006 is about 516.1688423487.

Adding to 137523006 its reverse (600325731), we get a palindrome (737848737).

The spelling of 137523006 in words is "one hundred thirty-seven million, five hundred twenty-three thousand, six".