1455892152 has 128 divisors (see below), whose sum is σ = 4300369920. Its totient is φ = 404928000.

The previous prime is 1455892147. The next prime is 1455892259. The reversal of 1455892152 is 2512985541.

It is a super-2 number, since 2×1455892152² = 4239243916510382208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654402 + ... + 656622.

It is an arithmetic number, because the mean of its divisors is an integer number (33596640).

Almost surely, 2^1455892152 is an apocalyptic number.

1455892152 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 1455892152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150184960).

1455892152 is an abundant number, since it is smaller than the sum of its proper divisors (2844477768).

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

1455892152 is a wasteful number, since it uses less digits than its factorization.

1455892152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2441 counting only the distinct ones).

The product of its digits is 144000, while the sum is 42.

The square root of 1455892152 is about 38156.1548377192. The cubic root of 1455892152 is about 1133.3822364903.

It can be divided in two parts, 145589 and 2152, that added together give a palindrome (147741).

The spelling of 1455892152 in words is "one billion, four hundred fifty-five million, eight hundred ninety-two thousand, one hundred fifty-two".