145938240 has 448 divisors, whose sum is σ = 624230400. Its totient is φ = 31352832.

The previous prime is 145938239. The next prime is 145938253. The reversal of 145938240 is 42839541.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×145938240³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145938195 and 145938204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149057 + ... + 1149183.

Almost surely, 2^145938240 is an apocalyptic number.

145938240 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 145938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312115200).

145938240 is an abundant number, since it is smaller than the sum of its proper divisors (478292160).

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

145938240 is a wasteful number, since it uses less digits than its factorization.

145938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 145938240 is about 12080.4900562850. The cubic root of 145938240 is about 526.4894844533.

The spelling of 145938240 in words is "one hundred forty-five million, nine hundred thirty-eight thousand, two hundred forty".