157074066100224 has 3328 divisors, whose sum is σ = 627379876085760. Its totient is φ = 37670218629120.

The previous prime is 157074066100213. The next prime is 157074066100243. The reversal of 157074066100224 is 422001660470751.

157074066100224 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 7 + 4 + 0 + 6 + 610 + 0 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×157074066100224² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157074066100224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 813855264672 + ... + 813855264864.

Almost surely, 2^{157074066100224} is an apocalyptic number.

157074066100224 is a gapful number since it is divisible by the number (14) 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 157074066100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313689938042880).

157074066100224 is an abundant number, since it is smaller than the sum of its proper divisors (470305809985536).

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

157074066100224 is a wasteful number, since it uses less digits than its factorization.

157074066100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 157074066100224 in words is "one hundred fifty-seven trillion, seventy-four billion, sixty-six million, one hundred thousand, two hundred twenty-four".