157346095104 has 280 divisors, whose sum is σ = 512824204728. Its totient is φ = 47678423040.

The previous prime is 157346095103. The next prime is 157346095129. The reversal of 157346095104 is 401590643751.

157346095104 is a `hidden beast` number, since 1 + 5 + 7 + 34 + 609 + 5 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 157346095104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157346095103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7288294 + ... + 7309850.

Almost surely, 2^157346095104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157346095104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256412102364).

157346095104 is an abundant number, since it is smaller than the sum of its proper divisors (355478109624).

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

157346095104 is an equidigital number, since it uses as much as digits as its factorization.

157346095104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21606 (or 21573 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 157346095104 in words is "one hundred fifty-seven billion, three hundred forty-six million, ninety-five thousand, one hundred four".