145420704 has 288 divisors, whose sum is σ = 506761920. Its totient is φ = 40296960.

The previous prime is 145420687. The next prime is 145420729. The reversal of 145420704 is 407024541.

145420704 is a `hidden beast` number, since 1 + 454 + 207 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145420704² = 42294362303711232, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1359019 + ... + 1359125.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 2^145420704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145420704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253380960).

145420704 is an abundant number, since it is smaller than the sum of its proper divisors (361341216).

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

145420704 is a wasteful number, since it uses less digits than its factorization.

145420704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 145420704 is about 12059.0507089074. The cubic root of 145420704 is about 525.8663898476.

The spelling of 145420704 in words is "one hundred forty-five million, four hundred twenty thousand, seven hundred four".