157353355152 has 240 divisors, whose sum is σ = 525644570880. Its totient is φ = 42963959808.

The previous prime is 157353355123. The next prime is 157353355157. The reversal of 157353355152 is 251553353751.

157353355152 is a `hidden beast` number, since 1 + 57 + 3 + 53 + 35 + 515 + 2 = 666.

157353355152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157353355098 and 157353355107.

It is not an unprimeable number, because it can be changed into a prime (157353355157) 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 47 ways as a sum of consecutive naturals, for example, 32663848 + ... + 32668664.

It is an arithmetic number, because the mean of its divisors is an integer number (2190185712).

Almost surely, 2^157353355152 is an apocalyptic number.

157353355152 is a gapful number since it is divisible by the number (12) 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 157353355152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262822285440).

157353355152 is an abundant number, since it is smaller than the sum of its proper divisors (368291215728).

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

157353355152 is a wasteful number, since it uses less digits than its factorization.

157353355152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6261 counting only the distinct ones).

The product of its digits is 1181250, while the sum is 45.

The spelling of 157353355152 in words is "one hundred fifty-seven billion, three hundred fifty-three million, three hundred fifty-five thousand, one hundred fifty-two".