2134147197552 has 320 divisors, whose sum is σ = 5839819560960. Its totient is φ = 670900838400.

The previous prime is 2134147197529. The next prime is 2134147197557. The reversal of 2134147197552 is 2557917414312.

It is a junction number, because it is equal to n+sod(n) for n = 2134147197495 and 2134147197504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134147197557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2911523778 + ... + 2911524510.

It is an arithmetic number, because the mean of its divisors is an integer number (18249436128).

Almost surely, 2^{2134147197552} 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 2134147197552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919909780480).

2134147197552 is an abundant number, since it is smaller than the sum of its proper divisors (3705672363408).

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

2134147197552 is a wasteful number, since it uses less digits than its factorization.

2134147197552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The spelling of 2134147197552 in words is "two trillion, one hundred thirty-four billion, one hundred forty-seven million, one hundred ninety-seven thousand, five hundred fifty-two".