151208968648320 has 1536 divisors, whose sum is σ = 601450020864000. Its totient is φ = 36315985305600.

The previous prime is 151208968648313. The next prime is 151208968648337. The reversal of 151208968648320 is 23846869802151.

151208968648320 is a `hidden beast` number, since 1 + 5 + 1 + 208 + 9 + 68 + 6 + 48 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18460375425 + ... + 18460383615.

It is an arithmetic number, because the mean of its divisors is an integer number (391569024000).

Almost surely, 2^{151208968648320} is an apocalyptic number.

151208968648320 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 151208968648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300725010432000).

151208968648320 is an abundant number, since it is smaller than the sum of its proper divisors (450241052215680).

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

151208968648320 is an equidigital number, since it uses as much as digits as its factorization.

151208968648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 151208968648320 in words is "one hundred fifty-one trillion, two hundred eight billion, nine hundred sixty-eight million, six hundred forty-eight thousand, three hundred twenty".