197153139456 has 1512 divisors, whose sum is σ = 784970565120. Its totient is φ = 48211697664.

The previous prime is 197153139413. The next prime is 197153139523. The reversal of 197153139456 is 654931351791.

197153139456 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 53 + 139 + 456 = 666.

197153139456 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 (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 4194747625 + ... + 4194747671.

Almost surely, 2^197153139456 is an apocalyptic number.

197153139456 is a gapful number since it is divisible by the number (16) 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 197153139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392485282560).

197153139456 is an abundant number, since it is smaller than the sum of its proper divisors (587817425664).

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

197153139456 is an equidigital number, since it uses as much as digits as its factorization.

197153139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 91 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The spelling of 197153139456 in words is "one hundred ninety-seven billion, one hundred fifty-three million, one hundred thirty-nine thousand, four hundred fifty-six".