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148538159616 = 29371122931127
BaseRepresentation
bin1000101001010110010…
…0000111001000000000
3112012101212202022212010
42022111210013020000
54413201232101431
6152123144132520
713505625344640
oct2122544071000
9465355668763
10148538159616
1157aa3a11900
1224955167140
131101275b152
147291582520
153ce55c1846
hex2295907200

148538159616 has 960 divisors, whose sum is σ = 535005757440. Its totient is φ = 35765452800.

The previous prime is 148538159603. The next prime is 148538159657. The reversal of 148538159616 is 616951835841.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 1169591745 + ... + 1169591871.

It is an arithmetic number, because the mean of its divisors is an integer number (557297664).

Almost surely, 2148538159616 is an apocalyptic number.

148538159616 is a gapful number since it is divisible by the number (16) 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 148538159616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267502878720).

148538159616 is an abundant number, since it is smaller than the sum of its proper divisors (386467597824).

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

148538159616 is a wasteful number, since it uses less digits than its factorization.

148538159616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 210 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 57.

The spelling of 148538159616 in words is "one hundred forty-eight billion, five hundred thirty-eight million, one hundred fifty-nine thousand, six hundred sixteen".