157341450240 has 960 divisors, whose sum is σ = 641224584000. Its totient is φ = 36691771392.

The previous prime is 157341450197. The next prime is 157341450251. The reversal of 157341450240 is 42054143751.

157341450240 is a `hidden beast` number, since 1 + 5 + 73 + 41 + 4 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157341450195 and 157341450204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8281128951 + ... + 8281128969.

It is an arithmetic number, because the mean of its divisors is an integer number (667942275).

Almost surely, 2^157341450240 is an apocalyptic number.

157341450240 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 157341450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320612292000).

157341450240 is an abundant number, since it is smaller than the sum of its proper divisors (483883133760).

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

157341450240 is an frugal number, since it uses more digits than its factorization.

157341450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 157341450240 its reverse (42054143751), we get a palindrome (199395593991).

The spelling of 157341450240 in words is "one hundred fifty-seven billion, three hundred forty-one million, four hundred fifty thousand, two hundred forty".