157301220240 has 80 divisors (see below), whose sum is σ = 541815321600. Its totient is φ = 41946991488.

The previous prime is 157301220227. The next prime is 157301220257. The reversal of 157301220240 is 42022103751.

157301220240 is a `hidden beast` number, since 157 + 301 + 2 + 202 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36410160 + ... + 36414479.

It is an arithmetic number, because the mean of its divisors is an integer number (6772691520).

Almost surely, 2^157301220240 is an apocalyptic number.

157301220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157301220240 is an abundant number, since it is smaller than the sum of its proper divisors (384514101360).

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

157301220240 is a wasteful number, since it uses less digits than its factorization.

157301220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72824661 (or 72824649 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 157301220240 its reverse (42022103751), we get a palindrome (199323323991).

The spelling of 157301220240 in words is "one hundred fifty-seven billion, three hundred one million, two hundred twenty thousand, two hundred forty".