151894500144114 has 1536 divisors, whose sum is σ = 441678631403520. Its totient is φ = 33728555520000.

The previous prime is 151894500144109. The next prime is 151894500144151. The reversal of 151894500144114 is 411441005498151.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1005923841939 + ... + 1005923842089.

It is an arithmetic number, because the mean of its divisors is an integer number (287551192320).

Almost surely, 2^{151894500144114} is an apocalyptic number.

151894500144114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151894500144114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220839315701760).

151894500144114 is an abundant number, since it is smaller than the sum of its proper divisors (289784131259406).

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

151894500144114 is a wasteful number, since it uses less digits than its factorization.

151894500144114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 151894500144114 in words is "one hundred fifty-one trillion, eight hundred ninety-four billion, five hundred million, one hundred forty-four thousand, one hundred fourteen".