152887198464 has 1152 divisors, whose sum is σ = 639533260800. Its totient is φ = 34697134080.

The previous prime is 152887198463. The next prime is 152887198507. The reversal of 152887198464 is 464891788251.

152887198464 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 87 + 1 + 98 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (152887198463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131458747 + ... + 131459909.

It is an arithmetic number, because the mean of its divisors is an integer number (555150400).

Almost surely, 2^152887198464 is an apocalyptic number.

152887198464 is a gapful number since it is divisible by the number (14) 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 152887198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319766630400).

152887198464 is an abundant number, since it is smaller than the sum of its proper divisors (486646062336).

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

152887198464 is a wasteful number, since it uses less digits than its factorization.

152887198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1218 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 152887198464 in words is "one hundred fifty-two billion, eight hundred eighty-seven million, one hundred ninety-eight thousand, four hundred sixty-four".