151628736 has 168 divisors, whose sum is σ = 475341696. Its totient is φ = 42524160.

The previous prime is 151628693. The next prime is 151628749. The reversal of 151628736 is 637826151.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 151628694 and 151628703.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 667855 + ... + 668081.

Almost surely, 2^151628736 is an apocalyptic number.

151628736 is a gapful number since it is divisible by the number (16) 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 151628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237670848).

151628736 is an abundant number, since it is smaller than the sum of its proper divisors (323712960).

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

151628736 is a wasteful number, since it uses less digits than its factorization.

151628736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 151628736 is about 12313.7620571457. The cubic root of 151628736 is about 533.2454660801.

The spelling of 151628736 in words is "one hundred fifty-one million, six hundred twenty-eight thousand, seven hundred thirty-six".