152121312 has 144 divisors (see below), whose sum is σ = 502905312. Its totient is φ = 42716160.

The previous prime is 152121271. The next prime is 152121313. The reversal of 152121312 is 213121251.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152121313) 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, 122358 + ... + 123594.

It is an arithmetic number, because the mean of its divisors is an integer number (3492398).

Almost surely, 2^152121312 is an apocalyptic number.

152121312 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 152121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251452656).

152121312 is an abundant number, since it is smaller than the sum of its proper divisors (350784000).

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

152121312 is a wasteful number, since it uses less digits than its factorization.

152121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1310 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 152121312 is about 12333.7468759497. The cubic root of 152121312 is about 533.8222696834.

Adding to 152121312 its reverse (213121251), we get a palindrome (365242563).

The spelling of 152121312 in words is "one hundred fifty-two million, one hundred twenty-one thousand, three hundred twelve".