151042400 has 108 divisors (see below), whose sum is σ = 389904732. Its totient is φ = 57127680.

The previous prime is 151042387. The next prime is 151042417. The reversal of 151042400 is 4240151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 288539 + ... + 289061.

It is an arithmetic number, because the mean of its divisors is an integer number (3610229).

Almost surely, 2^151042400 is an apocalyptic number.

151042400 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 151042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194952366).

151042400 is an abundant number, since it is smaller than the sum of its proper divisors (238862332).

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

151042400 is a wasteful number, since it uses less digits than its factorization.

151042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 151042400 is about 12289.9308378851. The cubic root of 151042400 is about 532.5572392496.

Adding to 151042400 its reverse (4240151), we get a palindrome (155282551).

The spelling of 151042400 in words is "one hundred fifty-one million, forty-two thousand, four hundred".