157584045240 has 320 divisors, whose sum is σ = 561479688000. Its totient is φ = 39503572992.

The previous prime is 157584045211. The next prime is 157584045247. The reversal of 157584045240 is 42540485751.

157584045240 is a `hidden beast` number, since 1 + 5 + 7 + 584 + 0 + 45 + 24 + 0 = 666.

157584045240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157584045247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85317997 + ... + 85319843.

It is an arithmetic number, because the mean of its divisors is an integer number (1754624025).

Almost surely, 2^157584045240 is an apocalyptic number.

157584045240 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 157584045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280739844000).

157584045240 is an abundant number, since it is smaller than the sum of its proper divisors (403895642760).

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

157584045240 is a wasteful number, since it uses less digits than its factorization.

157584045240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 157584045240 in words is "one hundred fifty-seven billion, five hundred eighty-four million, forty-five thousand, two hundred forty".