145617769440 has 864 divisors, whose sum is σ = 610259596128. Its totient is φ = 32572108800.

The previous prime is 145617769421. The next prime is 145617769459. The reversal of 145617769440 is 44967716541.

It is a happy number.

145617769440 is a `hidden beast` number, since 1 + 4 + 561 + 7 + 76 + 9 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145617769421) and next prime (145617769459).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61157050 + ... + 61159430.

It is an arithmetic number, because the mean of its divisors is an integer number (706318977).

Almost surely, 2^145617769440 is an apocalyptic number.

145617769440 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 145617769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305129798064).

145617769440 is an abundant number, since it is smaller than the sum of its proper divisors (464641826688).

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

145617769440 is a wasteful number, since it uses less digits than its factorization.

145617769440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 145617769440 in words is "one hundred forty-five billion, six hundred seventeen million, seven hundred sixty-nine thousand, four hundred forty".