137214000 has 600 divisors, whose sum is σ = 622605984. Its totient is φ = 28512000.

The previous prime is 137213983. The next prime is 137214001. The reversal of 137214000 is 412731.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (137214001) 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 119 ways as a sum of consecutive naturals, for example, 12473995 + ... + 12474005.

Almost surely, 2^137214000 is an apocalyptic number.

137214000 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 137214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311302992).

137214000 is an abundant number, since it is smaller than the sum of its proper divisors (485391984).

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

137214000 is a wasteful number, since it uses less digits than its factorization.

137214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 137214000 is about 11713.8379705372. The cubic root of 137214000 is about 515.7819522201.

Adding to 137214000 its reverse (412731), we get a palindrome (137626731).

The spelling of 137214000 in words is "one hundred thirty-seven million, two hundred fourteen thousand".