245737152000 has 1120 divisors, whose sum is σ = 962851855680. Its totient is φ = 62407065600.

The previous prime is 245737151983. The next prime is 245737152007. The reversal of 245737152000 is 251737542.

It is a super-2 number, since 2×245737152000² (a number of 24 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 (245737152007) 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 111 ways as a sum of consecutive naturals, for example, 1073087886 + ... + 1073088114.

Almost surely, 2^245737152000 is an apocalyptic number.

245737152000 is a gapful number since it is divisible by the number (20) 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 245737152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481425927840).

245737152000 is an abundant number, since it is smaller than the sum of its proper divisors (717114703680).

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

245737152000 is an frugal number, since it uses more digits than its factorization.

245737152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 245737152000 its reverse (251737542), we get a palindrome (245988889542).

The spelling of 245737152000 in words is "two hundred forty-five billion, seven hundred thirty-seven million, one hundred fifty-two thousand".