145743300 has 180 divisors, whose sum is σ = 497832720. Its totient is φ = 36780480.

The previous prime is 145743293. The next prime is 145743317. The reversal of 145743300 is 3347541.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-4 number, since 4×145743300⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 153427 + ... + 154373.

Almost surely, 2^145743300 is an apocalyptic number.

145743300 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 145743300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248916360).

145743300 is an abundant number, since it is smaller than the sum of its proper divisors (352089420).

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

145743300 is a wasteful number, since it uses less digits than its factorization.

145743300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 145743300 is about 12072.4189788128. The cubic root of 145743300 is about 526.2549569516.

The spelling of 145743300 in words is "one hundred forty-five million, seven hundred forty-three thousand, three hundred".