151433012000 has 384 divisors, whose sum is σ = 405039398400. Its totient is φ = 55469568000.

The previous prime is 151433011963. The next prime is 151433012041. The reversal of 151433012000 is 210334151.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562947866 + ... + 562948134.

It is an arithmetic number, because the mean of its divisors is an integer number (1054790100).

Almost surely, 2^151433012000 is an apocalyptic number.

151433012000 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 151433012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202519699200).

151433012000 is an abundant number, since it is smaller than the sum of its proper divisors (253606386400).

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

151433012000 is a wasteful number, since it uses less digits than its factorization.

151433012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 151433012000 its reverse (210334151), we get a palindrome (151643346151).

The spelling of 151433012000 in words is "one hundred fifty-one billion, four hundred thirty-three million, twelve thousand".