145355402531200 has 192 divisors, whose sum is σ = 368750345364720. Its totient is φ = 56584984780800.

The previous prime is 145355402531161. The next prime is 145355402531221. The reversal of 145355402531200 is 2135204553541.

It is a super-2 number, since 2×145355402531200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36208410 + ... + 40021990.

Almost surely, 2^{145355402531200} is an apocalyptic number.

145355402531200 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 145355402531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184375172682360).

145355402531200 is an abundant number, since it is smaller than the sum of its proper divisors (223394942833520).

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

145355402531200 is a wasteful number, since it uses less digits than its factorization.

145355402531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813925 (or 3813908 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 145355402531200 in words is "one hundred forty-five trillion, three hundred fifty-five billion, four hundred two million, five hundred thirty-one thousand, two hundred".