151628400 has 360 divisors, whose sum is σ = 657231744. Its totient is φ = 31449600.

The previous prime is 151628377. The next prime is 151628419. The reversal of 151628400 is 4826151.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 276927 + ... + 277473.

Almost surely, 2^151628400 is an apocalyptic number.

151628400 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 151628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328615872).

151628400 is an abundant number, since it is smaller than the sum of its proper divisors (505603344).

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

151628400 is a wasteful number, since it uses less digits than its factorization.

151628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 151628400 is about 12313.7484138665. The cubic root of 151628400 is about 533.2450722001.

The spelling of 151628400 in words is "one hundred fifty-one million, six hundred twenty-eight thousand, four hundred".