152348120947600 has 30 divisors (see below), whose sum is σ = 366016360577570. Its totient is φ = 60939248378880.

The previous prime is 152348120947553. The next prime is 152348120947601. The reversal of 152348120947600 is 6749021843251.

It can be written as a sum of positive squares in 3 ways, for example, as 16980201455616 + 135367919491984 = 4120704^2 + 11634772^2 .

It is not an unprimeable number, because it can be changed into a prime (152348120947601) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 190435150785 + ... + 190435151584.

It is a 1-persistent number, because it is pandigital, but 2⋅152348120947600 = 304696241895200 is not.

Almost surely, 2^{152348120947600} is an apocalyptic number.

152348120947600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152348120947600 is an abundant number, since it is smaller than the sum of its proper divisors (213668239629970).

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

152348120947600 is a wasteful number, since it uses less digits than its factorization.

152348120947600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380870302387 (or 380870302376 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 152348120947600 in words is "one hundred fifty-two trillion, three hundred forty-eight billion, one hundred twenty million, nine hundred forty-seven thousand, six hundred".