1531152 has 120 divisors (see below), whose sum is σ = 5158400. Its totient is φ = 423360.

The previous prime is 1531147. The next prime is 1531157. The reversal of 1531152 is 2511351.

It is an interprime number because it is at equal distance from previous prime (1531147) and next prime (1531157).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1531157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49377 + ... + 49407.

2^1531152 is an apocalyptic number.

1531152 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 1531152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579200).

1531152 is an abundant number, since it is smaller than the sum of its proper divisors (3627248).

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

1531152 is a wasteful number, since it uses less digits than its factorization.

1531152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 43 counting only the distinct ones).

The product of its digits is 150, while the sum is 18.

The square root of 1531152 is about 1237.3972684631. The cubic root of 1531152 is about 115.2584483496.

The spelling of 1531152 in words is "one million, five hundred thirty-one thousand, one hundred fifty-two".