153760000000000 has 495 divisors, whose sum is σ = 397187870283561. Its totient is φ = 59520000000000.

The previous prime is 153759999999997. The next prime is 153760000000097. The reversal of 153760000000000 is 67351.

The square root of 153760000000000 is 12400000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 884382253056 + 152875617746944 = 940416^2 + 12364288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 153760000000000.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 4959999999985 + ... + 4960000000015.

Almost surely, 2^{153760000000000} is an apocalyptic number.

153760000000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153760000000000 is the 12400000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153760000000000

153760000000000 is an abundant number, since it is smaller than the sum of its proper divisors (243427870283561).

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

153760000000000 is an frugal number, since it uses more digits than its factorization.

153760000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

Adding to 153760000000000 its reverse (67351), we get a palindrome (153760000067351).

The spelling of 153760000000000 in words is "one hundred fifty-three trillion, seven hundred sixty billion", and thus it is an aban number.