151696800 has 180 divisors, whose sum is σ = 553445046. Its totient is φ = 40435200.

The previous prime is 151696793. The next prime is 151696807. The reversal of 151696800 is 8696151.

It is an interprime number because it is at equal distance from previous prime (151696793) and next prime (151696807).

It can be written as a sum of positive squares in 3 ways, for example, as 122146704 + 29550096 = 11052^2 + 5436^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (151696807) 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 29 ways as a sum of consecutive naturals, for example, 63630 + ... + 65970.

Almost surely, 2^151696800 is an apocalyptic number.

151696800 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 151696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276722523).

151696800 is an abundant number, since it is smaller than the sum of its proper divisors (401748246).

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

151696800 is a wasteful number, since it uses less digits than its factorization.

151696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 151696800 is about 12316.5254840803. The cubic root of 151696800 is about 533.3252429328.

The spelling of 151696800 in words is "one hundred fifty-one million, six hundred ninety-six thousand, eight hundred".