151022253200 has 540 divisors, whose sum is σ = 461914721280. Its totient is φ = 47287618560.

The previous prime is 151022253157. The next prime is 151022253209. The reversal of 151022253200 is 2352220151.

It is a super-3 number, since 3×151022253200³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (151022253209) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 420674621 + ... + 420674979.

It is an arithmetic number, because the mean of its divisors is an integer number (855397632).

Almost surely, 2^151022253200 is an apocalyptic number.

151022253200 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 151022253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230957360640).

151022253200 is an abundant number, since it is smaller than the sum of its proper divisors (310892468080).

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

151022253200 is a wasteful number, since it uses less digits than its factorization.

151022253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 151022253200 its reverse (2352220151), we get a palindrome (153374473351).

The spelling of 151022253200 in words is "one hundred fifty-one billion, twenty-two million, two hundred fifty-three thousand, two hundred".