1146754000 has 160 divisors (see below), whose sum is σ = 3204294912. Its totient is φ = 388800000.

The previous prime is 1146753973. The next prime is 1146754001. The reversal of 1146754000 is 4576411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1146754000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146754001) 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, 1413595 + ... + 1414405.

Almost surely, 2^1146754000 is an apocalyptic number.

1146754000 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 1146754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602147456).

1146754000 is an abundant number, since it is smaller than the sum of its proper divisors (2057540912).

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

1146754000 is a wasteful number, since it uses less digits than its factorization.

1146754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1146754000 is about 33863.7564366389. The cubic root of 1146754000 is about 1046.7028850482.

The spelling of 1146754000 in words is "one billion, one hundred forty-six million, seven hundred fifty-four thousand".