145298486333440 has 1872 divisors, whose sum is σ = 435082127176368. Its totient is φ = 46340348313600.

The previous prime is 145298486333437. The next prime is 145298486333443. The reversal of 145298486333440 is 44333684892541.

It is an interprime number because it is at equal distance from previous prime (145298486333437) and next prime (145298486333443).

It can be written as a sum of positive squares in 8 ways, for example, as 11004134293504 + 134294352039936 = 3317248^2 + 11588544^2 .

It is a super-2 number, since 2×145298486333440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145298486333443) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1497922539472 + ... + 1497922539568.

Almost surely, 2^{145298486333440} is an apocalyptic number.

145298486333440 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 145298486333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217541063588184).

145298486333440 is an abundant number, since it is smaller than the sum of its proper divisors (289783640842928).

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

145298486333440 is a wasteful number, since it uses less digits than its factorization.

145298486333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 64.

The spelling of 145298486333440 in words is "one hundred forty-five trillion, two hundred ninety-eight billion, four hundred eighty-six million, three hundred thirty-three thousand, four hundred forty".