153256073381120 has 72 divisors (see below), whose sum is σ = 369559921537800. Its totient is φ = 60891003576320.

The previous prime is 153256073381111. The next prime is 153256073381129. The reversal of 153256073381120 is 21183370652351.

It is an interprime number because it is at equal distance from previous prime (153256073381111) and next prime (153256073381129).

It can be written as a sum of positive squares in 4 ways, for example, as 12318527570176 + 140937545810944 = 3509776^2 + 11871712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153256073381129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401592191 + ... + 401973630.

It is an arithmetic number, because the mean of its divisors is an integer number (5132776688025).

Almost surely, 2^{153256073381120} is an apocalyptic number.

153256073381120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153256073381120 is an abundant number, since it is smaller than the sum of its proper divisors (216303848156680).

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

153256073381120 is an equidigital number, since it uses as much as digits as its factorization.

153256073381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803565991 (or 803565977 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 153256073381120 in words is "one hundred fifty-three trillion, two hundred fifty-six billion, seventy-three million, three hundred eighty-one thousand, one hundred twenty".