197155131264 has 1152 divisors, whose sum is σ = 766856563200. Its totient is φ = 47208407040.

The previous prime is 197155131263. The next prime is 197155131323. The reversal of 197155131264 is 462131551791.

197155131264 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 5 + 513 + 126 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197155131263) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1914127437 + ... + 1914127539.

It is an arithmetic number, because the mean of its divisors is an integer number (665674100).

Almost surely, 2^197155131264 is an apocalyptic number.

197155131264 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 197155131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383428281600).

197155131264 is an abundant number, since it is smaller than the sum of its proper divisors (569701431936).

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

197155131264 is a wasteful number, since it uses less digits than its factorization.

197155131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 178 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 197155131264 in words is "one hundred ninety-seven billion, one hundred fifty-five million, one hundred thirty-one thousand, two hundred sixty-four".