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135211150032 = 24371988920233
BaseRepresentation
bin111110111101100110…
…1100110101011010000
3110221000002122002120120
41331323031212223100
54203403023300112
6142040512110240
712524441545410
oct1757315465320
9427002562516
10135211150032
11523851952a2
1222255b35380
13c99a6c286a
146789612640
1537b55c7e8c
hex1f7b366ad0

135211150032 has 80 divisors (see below), whose sum is σ = 399234625920. Its totient is φ = 38627905536.

The previous prime is 135211149991. The next prime is 135211150069. The reversal of 135211150032 is 230051112531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 135211149984 and 135211150011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6672588 + ... + 6692820.

It is an arithmetic number, because the mean of its divisors is an integer number (4990432824).

Almost surely, 2135211150032 is an apocalyptic number.

135211150032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135211150032 is an abundant number, since it is smaller than the sum of its proper divisors (264023475888).

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

135211150032 is a wasteful number, since it uses less digits than its factorization.

135211150032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40140 (or 40134 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 135211150032 its reverse (230051112531), we get a palindrome (365262262563).

The spelling of 135211150032 in words is "one hundred thirty-five billion, two hundred eleven million, one hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 19889 20233 39778 40466 59667 60699 79556 80932 119334 121398 139223 141631 159112 161864 238668 242796 278446 283262 318224 323728 417669 424893 477336 485592 556892 566524 835338 849786 954672 971184 1113784 1133048 1670676 1699572 2227568 2266096 3341352 3399144 6682704 6798288 402414137 804828274 1207242411 1609656548 2414484822 2816898959 3219313096 4828969644 5633797918 6438626192 8450696877 9657939288 11267595836 16901393754 19315878576 22535191672 33802787508 45070383344 67605575016 135211150032