151335400 has 96 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 57263360.

The previous prime is 151335389. The next prime is 151335407. The reversal of 151335400 is 4533151.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (151335407) 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 23 ways as a sum of consecutive naturals, for example, 768102 + ... + 768298.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^151335400 is an apocalyptic number.

151335400 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 151335400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

151335400 is an abundant number, since it is smaller than the sum of its proper divisors (219890840).

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

151335400 is a wasteful number, since it uses less digits than its factorization.

151335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 151335400 is about 12301.8453900218. The cubic root of 151335400 is about 532.9013776768.

Adding to 151335400 its reverse (4533151), we get a palindrome (155868551).

The spelling of 151335400 in words is "one hundred fifty-one million, three hundred thirty-five thousand, four hundred".