137531000 has 64 divisors (see below), whose sum is σ = 325896480. Its totient is φ = 54316800.

The previous prime is 137530979. The next prime is 137531011. The reversal of 137531000 is 135731.

It is a happy number.

It is a super-2 number, since 2×137531000² = 37829551922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82172 + ... + 83828.

Almost surely, 2^137531000 is an apocalyptic number.

137531000 is a gapful number since it is divisible by the number (10) 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 137531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162948240).

137531000 is an abundant number, since it is smaller than the sum of its proper divisors (188365480).

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

137531000 is a wasteful number, since it uses less digits than its factorization.

137531000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 137531000 is about 11727.3611695044. The cubic root of 137531000 is about 516.1788435209.

Adding to 137531000 its reverse (135731), we get a palindrome (137666731).

The spelling of 137531000 in words is "one hundred thirty-seven million, five hundred thirty-one thousand".