145471040 has 252 divisors, whose sum is σ = 435585108. Its totient is φ = 45957120.

The previous prime is 145471033. The next prime is 145471043. The reversal of 145471040 is 40174541.

It can be written as a sum of positive squares in 6 ways, for example, as 123904 + 145347136 = 352^2 + 12056^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145471043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8557112 + ... + 8557128.

Almost surely, 2^145471040 is an apocalyptic number.

145471040 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 145471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217792554).

145471040 is an abundant number, since it is smaller than the sum of its proper divisors (290114068).

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

145471040 is a wasteful number, since it uses less digits than its factorization.

145471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 145471040 is about 12061.1375914546. The cubic root of 145471040 is about 525.9270574058.

The spelling of 145471040 in words is "one hundred forty-five million, four hundred seventy-one thousand, forty".