145267920 has 480 divisors, whose sum is σ = 617460480. Its totient is φ = 29859840.

The previous prime is 145267919. The next prime is 145267921. The reversal of 145267920 is 29762541.

145267920 = T₁₄₁₁ + T₁₄₁₂ + ... + T₁₅₄₃.

It is an interprime number because it is at equal distance from previous prime (145267919) and next prime (145267921).

It is a super-2 number, since 2×145267920² = 42205537162252800, which contains 22 as substring.

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145267921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3543100 + ... + 3543140.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^145267920 is an apocalyptic number.

145267920 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 145267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308730240).

145267920 is an abundant number, since it is smaller than the sum of its proper divisors (472192560).

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

145267920 is a wasteful number, since it uses less digits than its factorization.

145267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 145267920 is about 12052.7142171380. The cubic root of 145267920 is about 525.6821608667.

The spelling of 145267920 in words is "one hundred forty-five million, two hundred sixty-seven thousand, nine hundred twenty".