151521984 has 168 divisors, whose sum is σ = 461223360. Its totient is φ = 47480832.

The previous prime is 151521977. The next prime is 151521989. The reversal of 151521984 is 489125151.

151521984 is a `hidden beast` number, since 1 + 51 + 521 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (151521989) 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 23 ways as a sum of consecutive naturals, for example, 784992 + ... + 785184.

Almost surely, 2^151521984 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 151521984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230611680).

151521984 is an abundant number, since it is smaller than the sum of its proper divisors (309701376).

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

151521984 is a wasteful number, since it uses less digits than its factorization.

151521984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 151521984 is about 12309.4266316510. The cubic root of 151521984 is about 533.1202954698.

The spelling of 151521984 in words is "one hundred fifty-one million, five hundred twenty-one thousand, nine hundred eighty-four".