1134147521952 has 192 divisors, whose sum is σ = 3499042095360. Its totient is φ = 356658204672.

The previous prime is 1134147521939. The next prime is 1134147521959. The reversal of 1134147521952 is 2591257414311.

1134147521952 is a `hidden beast` number, since 1 + 1 + 34 + 1 + 4 + 7 + 521 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1134147521898 and 1134147521907.

It is not an unprimeable number, because it can be changed into a prime (1134147521959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059748 + ... + 1841564.

It is an arithmetic number, because the mean of its divisors is an integer number (18224177580).

Almost surely, 2^{1134147521952} is an apocalyptic number.

1134147521952 is a gapful number since it is divisible by the number (12) 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 1134147521952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749521047680).

1134147521952 is an abundant number, since it is smaller than the sum of its proper divisors (2364894573408).

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

1134147521952 is a wasteful number, since it uses less digits than its factorization.

1134147521952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781932 (or 781918 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 1134147521952 in words is "one trillion, one hundred thirty-four billion, one hundred forty-seven million, five hundred twenty-one thousand, nine hundred fifty-two".