137770400 has 36 divisors (see below), whose sum is σ = 336333942. Its totient is φ = 55107840.

The previous prime is 137770379. The next prime is 137770403. The reversal of 137770400 is 4077731.

It can be written as a sum of positive squares in 3 ways, for example, as 117592336 + 20178064 = 10844^2 + 4492^2 .

It is not an unprimeable number, because it can be changed into a prime (137770403) 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 5 ways as a sum of consecutive naturals, for example, 85307 + ... + 86906.

Almost surely, 2^137770400 is an apocalyptic number.

137770400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137770400 is an abundant number, since it is smaller than the sum of its proper divisors (198563542).

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

137770400 is a wasteful number, since it uses less digits than its factorization.

137770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172233 (or 172220 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 137770400 is about 11737.5636313504. The cubic root of 137770400 is about 516.4781738129.

The spelling of 137770400 in words is "one hundred thirty-seven million, seven hundred seventy thousand, four hundred".