1154351952 has 320 divisors, whose sum is σ = 3847253760. Its totient is φ = 328237056.

The previous prime is 1154351951. The next prime is 1154351981. The reversal of 1154351952 is 2591534511.

It is a happy number.

1154351952 is a `hidden beast` number, since 11 + 543 + 51 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154351951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10215448 + ... + 10215560.

It is an arithmetic number, because the mean of its divisors is an integer number (12022668).

Almost surely, 2^1154351952 is an apocalyptic number.

1154351952 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 1154351952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923626880).

1154351952 is an abundant number, since it is smaller than the sum of its proper divisors (2692901808).

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

1154351952 is a wasteful number, since it uses less digits than its factorization.

1154351952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 1154351952 is about 33975.7553558416. The cubic root of 1154351952 is about 1049.0094822151.

The spelling of 1154351952 in words is "one billion, one hundred fifty-four million, three hundred fifty-one thousand, nine hundred fifty-two".