151020304400 has 120 divisors (see below), whose sum is σ = 417142884480. Its totient is φ = 51468180480.

The previous prime is 151020304397. The next prime is 151020304433. The reversal of 151020304400 is 4403020151.

It is a super-3 number, since 3×151020304400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306116 + ... + 629084.

It is an arithmetic number, because the mean of its divisors is an integer number (3476190704).

Almost surely, 2^151020304400 is an apocalyptic number.

151020304400 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 151020304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208571442240).

151020304400 is an abundant number, since it is smaller than the sum of its proper divisors (266122580080).

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

151020304400 is a wasteful number, since it uses less digits than its factorization.

151020304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323161 (or 323150 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 151020304400 its reverse (4403020151), we get a palindrome (155423324551).

The spelling of 151020304400 in words is "one hundred fifty-one billion, twenty million, three hundred four thousand, four hundred".