145556017152 has 1248 divisors, whose sum is σ = 552574033920. Its totient is φ = 33124515840.

The previous prime is 145556017081. The next prime is 145556017177. The reversal of 145556017152 is 251710655541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×145556017152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4695355377 + ... + 4695355407.

Almost surely, 2^145556017152 is an apocalyptic number.

145556017152 is a gapful number since it is divisible by the number (12) 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 145556017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276287016960).

145556017152 is an abundant number, since it is smaller than the sum of its proper divisors (407018016768).

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

145556017152 is a wasteful number, since it uses less digits than its factorization.

145556017152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 42.

The spelling of 145556017152 in words is "one hundred forty-five billion, five hundred fifty-six million, seventeen thousand, one hundred fifty-two".