157034442240 has 240 divisors, whose sum is σ = 585690513408. Its totient is φ = 38654558208.

The previous prime is 157034442233. The next prime is 157034442241. The reversal of 157034442240 is 42244430751.

157034442240 is a `hidden beast` number, since 1 + 5 + 70 + 344 + 4 + 2 + 240 = 666.

157034442240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 157034442195 and 157034442204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157034442241) 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 23 ways as a sum of consecutive naturals, for example, 37377 + ... + 561663.

Almost surely, 2^157034442240 is an apocalyptic number.

157034442240 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 157034442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292845256704).

157034442240 is an abundant number, since it is smaller than the sum of its proper divisors (428656071168).

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

157034442240 is a wasteful number, since it uses less digits than its factorization.

157034442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524329 (or 524310 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 157034442240 its reverse (42244430751), we get a palindrome (199278872991).

The spelling of 157034442240 in words is "one hundred fifty-seven billion, thirty-four million, four hundred forty-two thousand, two hundred forty".