137216000 has 120 divisors (see below), whose sum is σ = 347592336. Its totient is φ = 54067200.

The previous prime is 137215997. The next prime is 137216021. The reversal of 137216000 is 612731.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047967 + ... + 2048033.

Almost surely, 2^137216000 is an apocalyptic number.

137216000 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 137216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173796168).

137216000 is an abundant number, since it is smaller than the sum of its proper divisors (210376336).

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

137216000 is an frugal number, since it uses more digits than its factorization.

137216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 137216000 is about 11713.9233393428. The cubic root of 137216000 is about 515.7844581814.

Adding to 137216000 its reverse (612731), we get a palindrome (137828731).

It can be divided in two parts, 1372 and 16000, that multiplied together give a cube (21952000 = 280³).

The spelling of 137216000 in words is "one hundred thirty-seven million, two hundred sixteen thousand".