137148195824640 has 2816 divisors, whose sum is σ = 659899998535680. Its totient is φ = 26302935859200.

The previous prime is 137148195824623. The next prime is 137148195824677. The reversal of 137148195824640 is 46428591841731.

It is a happy number.

137148195824640 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 4 + 8 + 1 + 9 + 582 + 4 + 6 + 40 = 666.

137148195824640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×137148195824640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16743762945 + ... + 16743771135.

It is a 1-persistent number, because it is pandigital, but 2⋅137148195824640 = 274296391649280 is not.

Almost surely, 2^{137148195824640} is an apocalyptic number.

137148195824640 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 137148195824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329949999267840).

137148195824640 is an abundant number, since it is smaller than the sum of its proper divisors (522751802711040).

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

137148195824640 is a wasteful number, since it uses less digits than its factorization.

137148195824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 137148195824640 in words is "one hundred thirty-seven trillion, one hundred forty-eight billion, one hundred ninety-five million, eight hundred twenty-four thousand, six hundred forty".