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148036150080 = 2632572131931137
BaseRepresentation
bin1000100111011110100…
…1000110001101000000
3112011002220010121020100
42021313221012031000
54411134223300310
6152001252242400
713460321341200
oct2116751061500
9464086117210
10148036150080
1157866602695
1224835010400
1310c627514a0
147244a26400
153cb64acec0
hex2277a46340

148036150080 has 2016 divisors, whose sum is σ = 698168540160. Its totient is φ = 28426567680.

The previous prime is 148036150033. The next prime is 148036150117. The reversal of 148036150080 is 80051630841.

148036150080 is a `hidden beast` number, since 1 + 48 + 0 + 36 + 1 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1080555772 + ... + 1080555908.

It is an arithmetic number, because the mean of its divisors is an integer number (346313760).

Almost surely, 2148036150080 is an apocalyptic number.

148036150080 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 148036150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349084270080).

148036150080 is an abundant number, since it is smaller than the sum of its proper divisors (550132390080).

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

148036150080 is a wasteful number, since it uses less digits than its factorization.

148036150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

It can be divided in two parts, 148036 and 150080, that added together give a square (298116 = 5462).

The spelling of 148036150080 in words is "one hundred forty-eight billion, thirty-six million, one hundred fifty thousand, eighty".