137001200 has 120 divisors (see below), whose sum is σ = 380371488. Its totient is φ = 46448640.

The previous prime is 137001197. The next prime is 137001203. The reversal of 137001200 is 2100731.

It is an interprime number because it is at equal distance from previous prime (137001197) and next prime (137001203).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137001203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316184 + ... + 316616.

Almost surely, 2^137001200 is an apocalyptic number.

137001200 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 137001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190185744).

137001200 is an abundant number, since it is smaller than the sum of its proper divisors (243370288).

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

137001200 is a wasteful number, since it uses less digits than its factorization.

137001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 137001200 is about 11704.7511720668. The cubic root of 137001200 is about 515.5151786926.

Adding to 137001200 its reverse (2100731), we get a palindrome (139101931).

The spelling of 137001200 in words is "one hundred thirty-seven million, one thousand, two hundred".