1134787572072 has 1536 divisors, whose sum is σ = 4409317785600. Its totient is φ = 264539520000.

The previous prime is 1134787572071. The next prime is 1134787572131. The reversal of 1134787572072 is 2702757874311.

It is a happy number.

1134787572072 is a `hidden beast` number, since 1 + 13 + 478 + 75 + 7 + 20 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1134787572071) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5378140047 + ... + 5378140257.

It is an arithmetic number, because the mean of its divisors is an integer number (2870649600).

Almost surely, 2^{1134787572072} is an apocalyptic number.

1134787572072 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 1134787572072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204658892800).

1134787572072 is an abundant number, since it is smaller than the sum of its proper divisors (3274530213528).

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

1134787572072 is a wasteful number, since it uses less digits than its factorization.

1134787572072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 1134787572072 in words is "one trillion, one hundred thirty-four billion, seven hundred eighty-seven million, five hundred seventy-two thousand, seventy-two".