151333252000 has 768 divisors, whose sum is σ = 490802457600. Its totient is φ = 44590694400.

The previous prime is 151333251991. The next prime is 151333252009. The reversal of 151333252000 is 252333151.

It is an interprime number because it is at equal distance from previous prime (151333251991) and next prime (151333252009).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (151333252009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 262275712 + ... + 262276288.

It is an arithmetic number, because the mean of its divisors is an integer number (639065700).

Almost surely, 2^151333252000 is an apocalyptic number.

151333252000 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 151333252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245401228800).

151333252000 is an abundant number, since it is smaller than the sum of its proper divisors (339469205600).

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

151333252000 is a wasteful number, since it uses less digits than its factorization.

151333252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 151333252000 its reverse (252333151), we get a palindrome (151585585151).

The spelling of 151333252000 in words is "one hundred fifty-one billion, three hundred thirty-three million, two hundred fifty-two thousand".