151688628 has 144 divisors (see below), whose sum is σ = 496961920. Its totient is φ = 37884672.

The previous prime is 151688623. The next prime is 151688653. The reversal of 151688628 is 826886151.

151688628 is a `hidden beast` number, since 1 + 5 + 16 + 8 + 8 + 628 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151688623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61026 + ... + 63462.

Almost surely, 2^151688628 is an apocalyptic number.

151688628 is a gapful number since it is divisible by the number (18) 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 151688628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248480960).

151688628 is an abundant number, since it is smaller than the sum of its proper divisors (345273292).

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

151688628 is a wasteful number, since it uses less digits than its factorization.

151688628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2481 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 151688628 is about 12316.1937302074. The cubic root of 151688628 is about 533.3156659078.

The spelling of 151688628 in words is "one hundred fifty-one million, six hundred eighty-eight thousand, six hundred twenty-eight".