152465241600 has 1920 divisors, whose sum is σ = 701440819200. Its totient is φ = 31651430400.

The previous prime is 152465241587. The next prime is 152465241601. The reversal of 152465241600 is 6142564251.

152465241600 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 6 + 5 + 2 + 41 + 600 = 666.

152465241600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×152465241600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152465241601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1424908747 + ... + 1424908853.

It is an arithmetic number, because the mean of its divisors is an integer number (365333760).

Almost surely, 2^152465241600 is an apocalyptic number.

152465241600 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 152465241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350720409600).

152465241600 is an abundant number, since it is smaller than the sum of its proper divisors (548975577600).

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

152465241600 is a wasteful number, since it uses less digits than its factorization.

152465241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 152465241600 in words is "one hundred fifty-two billion, four hundred sixty-five million, two hundred forty-one thousand, six hundred".