145416787719840 has 576 divisors, whose sum is σ = 610788913652736. Its totient is φ = 30679414972416.

The previous prime is 145416787719829. The next prime is 145416787720003. The reversal of 145416787719840 is 48917787614541.

145416787719840 is a `hidden beast` number, since 1 + 4 + 5 + 416 + 7 + 87 + 7 + 1 + 98 + 40 = 666.

145416787719840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145416787719840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3212685049 + ... + 3212730311.

It is an arithmetic number, because the mean of its divisors is an integer number (1060397419536).

Almost surely, 2^{145416787719840} is an apocalyptic number.

145416787719840 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 145416787719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305394456826368).

145416787719840 is an abundant number, since it is smaller than the sum of its proper divisors (465372125932896).

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

145416787719840 is a wasteful number, since it uses less digits than its factorization.

145416787719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69821 (or 69810 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 145416787719840 in words is "one hundred forty-five trillion, four hundred sixteen billion, seven hundred eighty-seven million, seven hundred nineteen thousand, eight hundred forty".