137196800 has 216 divisors, whose sum is σ = 391209336. Its totient is φ = 47185920.

The previous prime is 137196797. The next prime is 137196809. The reversal of 137196800 is 8691731.

It can be written as a sum of positive squares in 12 ways, for example, as 44729344 + 92467456 = 6688^2 + 9616^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137196809) 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, 1414352 + ... + 1414448.

Almost surely, 2^137196800 is an apocalyptic number.

137196800 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 137196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195604668).

137196800 is an abundant number, since it is smaller than the sum of its proper divisors (254012536).

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

137196800 is a wasteful number, since it uses less digits than its factorization.

137196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 137196800 is about 11713.1037731252. The cubic root of 137196800 is about 515.7603999483.

The spelling of 137196800 in words is "one hundred thirty-seven million, one hundred ninety-six thousand, eight hundred".