1505123152 has 160 divisors (see below), whose sum is σ = 3588520320. Its totient is φ = 603832320.

The previous prime is 1505123149. The next prime is 1505123173. The reversal of 1505123152 is 2513215051.

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, 2888652 + ... + 2889172.

It is an arithmetic number, because the mean of its divisors is an integer number (22428252).

Almost surely, 2^1505123152 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 1505123152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794260160).

1505123152 is an abundant number, since it is smaller than the sum of its proper divisors (2083397168).

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

1505123152 is a wasteful number, since it uses less digits than its factorization.

1505123152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1505123152 is about 38795.9166923531. The cubic root of 1505123152 is about 1146.0159938965.

It can be divided in two parts, 150512 and 3152, that added together give a square (153664 = 392²).

The spelling of 1505123152 in words is "one billion, five hundred five million, one hundred twenty-three thousand, one hundred fifty-two".