151600400 has 120 divisors (see below), whose sum is σ = 430835520. Its totient is φ = 50158080.

The previous prime is 151600399. The next prime is 151600409. The reversal of 151600400 is 4006151.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (151600409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80267 + ... + 82133.

It is an arithmetic number, because the mean of its divisors is an integer number (3590296).

Almost surely, 2^151600400 is an apocalyptic number.

151600400 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 151600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215417760).

151600400 is an abundant number, since it is smaller than the sum of its proper divisors (279235120).

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

151600400 is a wasteful number, since it uses less digits than its factorization.

151600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 151600400 is about 12312.6114208157. The cubic root of 151600400 is about 533.2122468165.

Adding to 151600400 its reverse (4006151), we get a palindrome (155606551).

The spelling of 151600400 in words is "one hundred fifty-one million, six hundred thousand, four hundred".