1461150144 has 112 divisors (see below), whose sum is σ = 4305300000. Its totient is φ = 485941248.

The previous prime is 1461150139. The next prime is 1461150151. The reversal of 1461150144 is 4410511641.

1461150144 is a `hidden beast` number, since 1 + 4 + 611 + 5 + 0 + 1 + 44 = 666.

It is a super-2 number, since 2×1461150144² = 4269919486622441472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169232 + ... + 1170480.

Almost surely, 2^1461150144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152650000).

1461150144 is an abundant number, since it is smaller than the sum of its proper divisors (2844149856).

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

1461150144 is a wasteful number, since it uses less digits than its factorization.

1461150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1461150144 is about 38224.9937083056. The cubic root of 1461150144 is about 1134.7450102853.

Adding to 1461150144 its reverse (4410511641), we get a palindrome (5871661785).

The spelling of 1461150144 in words is "one billion, four hundred sixty-one million, one hundred fifty thousand, one hundred forty-four".