137785950720 has 800 divisors, whose sum is σ = 557201747520. Its totient is φ = 32235356160.

The previous prime is 137785950683. The next prime is 137785950737. The reversal of 137785950720 is 27059587731.

It is a happy number.

137785950720 is a `hidden beast` number, since 1 + 37 + 7 + 85 + 9 + 507 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 66146799 + ... + 66148881.

Almost surely, 2^137785950720 is an apocalyptic number.

137785950720 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 137785950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278600873760).

137785950720 is an abundant number, since it is smaller than the sum of its proper divisors (419415796800).

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

137785950720 is a wasteful number, since it uses less digits than its factorization.

137785950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 137785950720 in words is "one hundred thirty-seven billion, seven hundred eighty-five million, nine hundred fifty thousand, seven hundred twenty".