151414205233200 has 720 divisors, whose sum is σ = 620938318475520. Its totient is φ = 30845113528320.

The previous prime is 151414205233189. The next prime is 151414205233259. The reversal of 151414205233200 is 2332502414151.

It is a super-2 number, since 2×151414205233200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39329439 + ... + 43007361.

It is an arithmetic number, because the mean of its divisors is an integer number (862414331216).

Almost surely, 2^{151414205233200} is an apocalyptic number.

151414205233200 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 151414205233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310469159237760).

151414205233200 is an abundant number, since it is smaller than the sum of its proper divisors (469524113242320).

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

151414205233200 is a wasteful number, since it uses less digits than its factorization.

151414205233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678006 (or 3677982 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 151414205233200 its reverse (2332502414151), we get a palindrome (153746707647351).

The spelling of 151414205233200 in words is "one hundred fifty-one trillion, four hundred fourteen billion, two hundred five million, two hundred thirty-three thousand, two hundred".