152661276800 has 72 divisors (see below), whose sum is σ = 377175668085. Its totient is φ = 61055669760.

The previous prime is 152661276799. The next prime is 152661276821. The reversal of 152661276800 is 8672166251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

152661276800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 149608051264 + 3053225536 = 386792^2 + 55256^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=276280.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22098947 + ... + 22105853.

Almost surely, 2^152661276800 is an apocalyptic number.

152661276800 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 152661276800

152661276800 is an abundant number, since it is smaller than the sum of its proper divisors (224514391285).

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

152661276800 is an frugal number, since it uses more digits than its factorization.

152661276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13838 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 152661276800 in words is "one hundred fifty-two billion, six hundred sixty-one million, two hundred seventy-six thousand, eight hundred".