151550688 has 72 divisors (see below), whose sum is σ = 419956488. Its totient is φ = 47847168.

The previous prime is 151550671. The next prime is 151550689. The reversal of 151550688 is 886055151.

It is a super-2 number, since 2×151550688² = 45935222066546688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151550689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32470 + ... + 36842.

It is an arithmetic number, because the mean of its divisors is an integer number (5832729).

Almost surely, 2^151550688 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 151550688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209978244).

151550688 is an abundant number, since it is smaller than the sum of its proper divisors (268405800).

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

151550688 is a wasteful number, since it uses less digits than its factorization.

151550688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 39.

The square root of 151550688 is about 12310.5925121417. The cubic root of 151550688 is about 533.1539577331.

The spelling of 151550688 in words is "one hundred fifty-one million, five hundred fifty thousand, six hundred eighty-eight".