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148156968960 = 21232571121373
BaseRepresentation
bin1000100111111011010…
…1111111000000000000
3112011102022110211120200
42021332311333000000
54411411141001320
6152021250005200
713463316312630
oct2117665770000
9464368424520
10148156968960
1157918823700
1224869576800
1310c817a4050
147256ab66c0
153cc1dc6290
hex227ed7f000

148156968960 has 1872 divisors, whose sum is σ = 704259820992. Its totient is φ = 28028436480.

The previous prime is 148156968941. The next prime is 148156968961. The reversal of 148156968960 is 69869651841.

148156968960 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 569 + 6 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148156968961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2029547484 + ... + 2029547556.

Almost surely, 2148156968960 is an apocalyptic number.

148156968960 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 148156968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352129910496).

148156968960 is an abundant number, since it is smaller than the sum of its proper divisors (556102852032).

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

148156968960 is a wasteful number, since it uses less digits than its factorization.

148156968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 148156968960 in words is "one hundred forty-eight billion, one hundred fifty-six million, nine hundred sixty-eight thousand, nine hundred sixty".