151121920 has 104 divisors (see below), whose sum is σ = 372723264. Its totient is φ = 58785792.

The previous prime is 151121903. The next prime is 151121923. The reversal of 151121920 is 29121151.

It is a junction number, because it is equal to n+sod(n) for n = 151121891 and 151121900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151121923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962482 + ... + 962638.

Almost surely, 2^151121920 is an apocalyptic number.

151121920 is a gapful number since it is divisible by the number (10) 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 151121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186361632).

151121920 is an abundant number, since it is smaller than the sum of its proper divisors (221601344).

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

151121920 is an equidigital number, since it uses as much as digits as its factorization.

151121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 151121920 is about 12293.1655809234. The cubic root of 151121920 is about 532.6506821547.

The spelling of 151121920 in words is "one hundred fifty-one million, one hundred twenty-one thousand, nine hundred twenty".