2134503162000 has 720 divisors, whose sum is σ = 8225787932544. Its totient is φ = 515477952000.

The previous prime is 2134503161953. The next prime is 2134503162023. The reversal of 2134503162000 is 2613054312.

2134503162000 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 5 + 0 + 31 + 620 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2134503162000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 616372269 + ... + 616375731.

Almost surely, 2^{2134503162000} is an apocalyptic number.

2134503162000 is a gapful number since it is divisible by the number (20) 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 2134503162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112893966272).

2134503162000 is an abundant number, since it is smaller than the sum of its proper divisors (6091284770544).

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

2134503162000 is a wasteful number, since it uses less digits than its factorization.

2134503162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 2134503162000 in words is "two trillion, one hundred thirty-four billion, five hundred three million, one hundred sixty-two thousand".