137541950208 has 432 divisors, whose sum is σ = 451387067040. Its totient is φ = 41509158912.

The previous prime is 137541950207. The next prime is 137541950237. The reversal of 137541950208 is 802059145731.

137541950208 is a `hidden beast` number, since 1 + 37 + 541 + 9 + 50 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (137541950207) 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 47 ways as a sum of consecutive naturals, for example, 42859708 + ... + 42862916.

It is an arithmetic number, because the mean of its divisors is an integer number (1044877470).

Almost surely, 2^137541950208 is an apocalyptic number.

137541950208 is a gapful number since it is divisible by the number (18) 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 137541950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225693533520).

137541950208 is an abundant number, since it is smaller than the sum of its proper divisors (313845116832).

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

137541950208 is an equidigital number, since it uses as much as digits as its factorization.

137541950208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 137541950208 in words is "one hundred thirty-seven billion, five hundred forty-one million, nine hundred fifty thousand, two hundred eight".