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148531157100 = 223252181191129
BaseRepresentation
bin1000101001010100100…
…1011001100001101100
3112012101101120120012200
42022111021121201230
54413142434011400
6152122334101500
713505512001304
oct2122511314154
9465341516180
10148531157100
1157a9aa697a7
122495294a890
1311011178a51
14729067c604
153ce4b8bb00
hex229525986c

148531157100 has 108 divisors (see below), whose sum is σ = 465824846760. Its totient is φ = 39586003200.

The previous prime is 148531157077. The next prime is 148531157149. The reversal of 148531157100 is 1751135841.

It is a happy number.

148531157100 is a `hidden beast` number, since 1 + 4 + 8 + 531 + 15 + 7 + 100 = 666.

It is a super-3 number, since 3×1485311571003 (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1584336 + ... + 1675464.

Almost surely, 2148531157100 is an apocalyptic number.

148531157100 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 148531157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232912423380).

148531157100 is an abundant number, since it is smaller than the sum of its proper divisors (317293689660).

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

148531157100 is a wasteful number, since it uses less digits than its factorization.

148531157100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92960 (or 92950 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 148531157100 in words is "one hundred forty-eight billion, five hundred thirty-one million, one hundred fifty-seven thousand, one hundred".