152519214450 has 96 divisors (see below), whose sum is σ = 384415967232. Its totient is φ = 40011048000.

The previous prime is 152519214437. The next prime is 152519214457. The reversal of 152519214450 is 54412915251.

It is a super-2 number, since 2×152519214450² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152519214399 and 152519214408.

It is not an unprimeable number, because it can be changed into a prime (152519214457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4915485 + ... + 4946415.

It is an arithmetic number, because the mean of its divisors is an integer number (4004332992).

Almost surely, 2^152519214450 is an apocalyptic number.

152519214450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152519214450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192207983616).

152519214450 is an abundant number, since it is smaller than the sum of its proper divisors (231896752782).

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

152519214450 is a wasteful number, since it uses less digits than its factorization.

152519214450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31480 (or 31475 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 152519214450 in words is "one hundred fifty-two billion, five hundred nineteen million, two hundred fourteen thousand, four hundred fifty".