1149372000 has 288 divisors, whose sum is σ = 4662874944. Its totient is φ = 262656000.

The previous prime is 1149371969. The next prime is 1149372017. The reversal of 1149372000 is 2739411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249720 + ... + 254280.

It is an arithmetic number, because the mean of its divisors is an integer number (16190538).

Almost surely, 2^1149372000 is an apocalyptic number.

1149372000 is a gapful number since it is divisible by the number (10) 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 1149372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331437472).

1149372000 is an abundant number, since it is smaller than the sum of its proper divisors (3513502944).

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

1149372000 is a wasteful number, since it uses less digits than its factorization.

1149372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1149372000 is about 33902.3892963313. The cubic root of 1149372000 is about 1047.4988085799.

The spelling of 1149372000 in words is "one billion, one hundred forty-nine million, three hundred seventy-two thousand".