1137668924520 has 192 divisors, whose sum is σ = 3735492480720. Its totient is φ = 300270845952.

The previous prime is 1137668924489. The next prime is 1137668924543. The reversal of 1137668924520 is 254298667311.

It is a happy number.

1137668924520 is a `hidden beast` number, since 1 + 1 + 37 + 6 + 6 + 89 + 2 + 4 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 387633250404 + 750035674116 = 622602^2 + 866046^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13646002 + ... + 13729118.

It is a 1-persistent number, because it is pandigital, but 2⋅1137668924520 = 2275337849040 is not.

Almost surely, 2^{1137668924520} is an apocalyptic number.

1137668924520 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 1137668924520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867746240360).

1137668924520 is an abundant number, since it is smaller than the sum of its proper divisors (2597823556200).

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

1137668924520 is a wasteful number, since it uses less digits than its factorization.

1137668924520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83524 (or 83517 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1137668924520 in words is "one trillion, one hundred thirty-seven billion, six hundred sixty-eight million, nine hundred twenty-four thousand, five hundred twenty".